Abstract
We review the role of integrability in the planar spectral problem of four-dimensional superconformal gauge theories besides \({\fancyscript{N}=4}\) SYM. The cases considered include the Leigh–Strassler marginal deformations of \({\fancyscript{N}=4}\) SYM, quiver theories which arise as orbifolds of AdS5 × S5 on the dual gravity side, as well as various theories involving open spin chains.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Korchemsky, G.: Review of AdS/CFT Integrability, Chapter IV.4: Integrability in QCD and \({\mathcal{N} < 4}\) SYM. Lett. Math. Phys. Published in this volume. arxiv:1012.4000
Klose, T.: Review of AdS/CFT Integrability, Chapter IV.3: \({\mathcal{N} = 6}\) Chern–Simons and strings on AdS 4 × CP 3. Lett. Math. Phys. Published in this volume. arxiv:1012.3999
Leigh R.G., Strassler M.J.: Exactly marginal operators and duality in four-dimensional N = 1 supersymmetric gauge theory. Nucl. Phys. B 447, 95 (1995). doi:10.1016/0550-3213(95)00261-P (hep-th/9503121)
Aharony O., Razamat S.S.: Exactly marginal deformations of N = 4 SYM and of its supersymmetric orbifold descendants. JHEP 0205, 029 (2002). doi:10.1088/1126-6708/2002/05/029 (hep-th/0204045)
Mauri A., Penati S., Santambrogio A., Zanon D.: Exact results in planar N = 1 superconformal Yang-Mills theory. JHEP 0511, 024 (2005). doi:10.1088/1126-6708/2005/11/024 (hep-th/0507282)
Lunin O., Maldacena J.M.: Deforming field theories with U(1) × U(1) global symmetry and their gravity duals. JHEP 0505, 033 (2005). doi:10.1088/1126-6708/2005/05/033 (hep-th/0502086)
Frolov S.: Lax pair for strings in Lunin–Maldacena background. JHEP 0505, 069 (2005). doi:10.1088/1126-6708/2005/05/069 (hep-th/0503201)
Berenstein D., Jejjala V., Leigh R.G.: Marginal and relevant deformations of N = 4 field theories and non-commutative moduli spaces of vacua. Nucl. Phys. B 589, 196 (2000). doi:10.1016/S0550-3213(00)00394-1 (hep-th/0005087)
Roiban R.: On spin chains and field theories. JHEP 0409, 023 (2004). doi:10.1088/1126-6708/2004/09/023 (hep-th/0312218)
Berenstein, D., Cherkis, S.A.: Deformations of N = 4 SYM and integrable spin chain models. Nucl. Phys. B702, 49 (2004). doi:10.1016/j.nuclphysb.2004.09.005 (hep-th/0405215)
Beisert, N., Roiban, R.: Beauty and the twist: the Bethe ansatz for twisted N = 4 SYM. JHEP 0508, 039 (2005). doi:10.1088/1126-6708/2005/08/039 (hep-th/0505187)
Torrielli, A.: Review of AdS/CFT Integrability, Chapter VI.2: Yangian algebra. Lett. Math. Phys. Published in this volume. arxiv:1012.4005
Ihry, J.N.: Yangians in deformed super Yang–Mills theories. JHEP 0804, 051 (2008). doi:10.1088/1126-6708/2008/04/051 (arxiv:0802.3644)
Frolov, S.A., Roiban, R., Tseytlin, A.A.: Gauge–string duality for superconformal deformations of N = 4 super Yang–Mills theory. JHEP 0507, 045 (2005). doi:10.1088/1126-6708/2005/07/045 (hep-th/0503192)
Ahn C., Bajnok Z., Bombardelli D., Nepomechie R.I.: Twisted Bethe equations from a twisted S-matrix. JHEP 1102, 027 (2011). doi:10.1007/JHEP02(2011)027 (arxiv:1010.3229)
Grassi P.A., Kluson J.: Pure spinor strings in TsT deformed background. JHEP 0703, 033 (2007). doi:10.1088/1126-6708/2007/03/033 (hep-th/0611151)
Tseytlin, A.: Review of AdS/CFT Integrability, Chapter II.1: Classical AdS5 × S5 string solutions. Lett. Math. Phys. Published in this volume. arxiv:1012.3986
McLoughlin, T.: Review of AdS/CFT Integrability, Chapter II.2: Quantum strings in AdS 5 × S 5”. Lett. Math. Phys. Published in this volume. arxiv:1012.3987
Chen H.-Y., Prem Kumar S.: Precision test of AdS/CFT in Lunin–Maldacena background. JHEP 0603, 051 (2006). doi:10.1088/1126-6708/2006/03/051 (hep-th/0511164)
Chen H.-Y., Okamura K.: The anatomy of gauge/string duality in Lunin–Maldacena background. JHEP 0602, 054 (2006). doi:10.1088/1126-6708/2006/02/054 (hep-th/ 0601109)
Hofman D.M., Maldacena J.M.: Giant magnons. J. Phys. A 39, 13095 (2006). doi:10.1088/0305-4470/39/41/S17 (hep-th/0604135)
Chu C.-S., Georgiou G., Khoze V.V.: Magnons, classical strings and beta-deformations. JHEP 0611, 093 (2006). doi:10.1088/1126-6708/2006/11/093 (hep-th/ 0606220)
Bobev, N.P., Dimov, H., Rashkov, R.C.: Semiclassical strings in Lunin–Maldacena background. hep-th/0506063
Bobev N.P., Rashkov R.C.: Spiky strings, giant magnons and beta-deformations. Phys. Rev. D 76, 046008 (2007). doi:10.1103/PhysRevD.76.046008 (arxiv:0706.0442)
Bykov D.V., Frolov S.: Giant magnons in TsT-transformed AdS5 × S5. JHEP 0807, 071 (2008). doi:10.1088/1126-6708/2008/07/071 (arxiv:0805.1070)
Ahn C., Bozhilov P.: Finite-size dyonic giant magnons in TsT-transformed AdS5 × S5. JHEP 1007, 048 (2010). doi:10.1007/JHEP07(2010)048 (arxiv:1005.2508)
Janik, R.: Review of AdS/CFT Integrability, Chapter III.5: Lüscher corrections. Lett. Math. Phys. Published in this volume. arxiv:1012.3994
Bajnok, Z.: Review of AdS/CFT Integrability, Chapter III.6: Thermodynamic Bethe Ansatz. Lett. Math. Phys. Published in this volume. arxiv:1012.3995
Kazakov, V., Gromov, N.: Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability. Lett. Math. Phys. Published in this volume. arxiv:1012.3996
Gromov N., Levkovich-Maslyuk F.: Y-system and beta-deformed N = 4 Super–Yang–Mills. J. Phys. A 44, 015402 (2011). doi:10.1088/1751-8113/44/1/015402 (arxiv:1006.5438)
Freedman D.Z., Gursoy U.: Comments on the beta-deformed N = 4 SYM theory. JHEP 0511, 042 (2005). doi:10.1088/1126-6708/2005/11/042 (hep-th/0506128)
Sieg, C.: Review of AdS/CFT Integrability, Chapter I.2: The spectrum from perturbative gauge theory. Lett. Math. Phys. Published in this volume. arxiv:1012.3984
Fiamberti, F., Santambrogio, A., Sieg, C.: Superspace methods for the computation of wrapping effects in the standard and beta-deformed N = 4 SYM. arxiv:1006.3475
Fiamberti F., Santambrogio A., Sieg C., Zanon D.: Finite-size effects in the superconformal beta-deformed N = 4 SYM. JHEP 0808, 057 (2008). doi:10.1088/1126-6708/2008/08/057 (arxiv:0806.2103)
Fiamberti F., Santambrogio A., Sieg C., Zanon D.: Single impurity operators at critical wrapping order in the beta-deformed N = 4 SYM. JHEP 0908, 034 (2009). doi:10.1088/1126-6708/2009/08/034 (arxiv:0811.4594)
Arutyunov G., de Leeuw M., van Tongeren S.J.: Twisting the Mirror TBA. JHEP 1102, 025 (2011). doi:10.1007/JHEP02(2011)025
Beccaria M., De Angelis G.F.: On the wrapping correction to single magnon energy in twisted N = 4 SYM. Int. J. Mod. Phys. A 24, 5803 (2009). doi:10.1142/S0217751X09047375 (arxiv:0903.0778)
Bajnok Z., Hegedus A., Janik R.A., Lukowski T.: Five loop Konishi from AdS/CFT. Nucl. Phys. B 827, 426 (2010). doi:10.1016/j.nuclphysb.2009.10.015 (arxiv:0906.4062)
Gunnesson J.: Wrapping in maximally supersymmetric and marginally deformed N = 4 Yang–Mills. JHEP 0904, 130 (2009). doi:10.1088/1126-6708/2009/04/130 (arxiv:0902.1427)
Ahn C., Bajnok Z., Bombardelli D., Nepomechie R.I.: Finite-size effect for four-loop Konishi of the beta-deformed N = 4 SYM. Phys. Lett. B 693, 380 (2010). doi:10.1016/j.physletb.2010.08.056 (arxiv:1006.2209)
Beccaria M., Levkovich-Maslyuk F., Macorini G.: On wrapping corrections to GKP-like operators. JHEP 1103, 001 (2011). doi:10.1007/JHEP03(2011)001 (arxiv: 1012.2054)
de Leeuw, M., Lukowski, T.: Twist operators in N = 4 beta-deformed theory. arxiv:1012.3725
Roiban, R.: Review of AdS/CFT Integrability, Chapter V.1: Scattering amplitudes—a brief introduction. Lett. Math. Phys. Published in this volume. arxiv:1012.4001
Khoze V.V.: Amplitudes in the beta-deformed conformal Yang–Mills. JHEP 0602, 040 (2006). doi:10.1088/1126-6708/2006/02/040 (hep-th/0512194)
Oz Y., Theisen S., Yankielowicz S.: Gluon scattering in deformed N = 4 SYM. Phys. Lett. B 662, 297 (2008). doi:10.1016/j.physletb.2008.03.019 (arxiv:0712.3491)
Mansson T.: Is there a tower of charges to be discovered?. J. Phys. A 41, 194014 (2008). doi:10.1088/1751-8113/41/19/194014 (arxiv:0711.0931)
Bundzik D., Mansson T.: The general Leigh-Strassler deformation and integrability. JHEP 0601, 116 (2006). doi:10.1088/1126-6708/2006/01/116 (hep-th/0512093)
Bork L.V., Kazakov D.I., Vartanov G.S., Zhiboedov A.V.: Conformal invariance in the Leigh–Strassler deformed N = 4 SYM Theory. JHEP 0804, 003 (2008). doi:10.1088/1126-6708/2008/04/003 (arxiv:0712.4132)
Mansson T., Zoubos K.: Quantum symmetries and marginal deformations. JHEP 1010, 043 (2010). doi:10.1007/JHEP10(2010)043 (arxiv:0811.3755)
Mansson T.: The Leigh–Strassler deformation and the quest for integrability. JHEP 0706, 010 (2007). doi:10.1088/1126-6708/2007/06/010 (hep-th/0703150)
Kristjansen, C.: Review of AdS/CFT Integrability, Chapter IV.1: Aspects of non-planarity. Lett. Math. Phys. Published in this volume. arxiv:1012.3997
Staudacher, M.: Review of AdS/CFT Integrability, Chapter III.1: Bethe Ansätze and the R-matrix formalism. Lett. Math. Phys. Published in this volume. arxiv:1012.3990
Alday L.F., Arutyunov G., Frolov S.: Green–Schwarz strings in TsT-transformed backgrounds. JHEP 0606, 018 (2006). doi:10.1088/1126-6708/2006/06/018 (hep-th/0512253)
Frolov S.A., Roiban R., Tseytlin A.A.: Gauge–string duality for (non)supersymmetric deformations of N = 4 super Yang–Mills theory. Nucl. Phys. B 731, 1 (2005). doi:10.1016/j.nuclphysb.2005.10.004 (hep-th/0507021)
Prinsloo A.H.: Gamma(i) deformed Lax pair for rotating strings in the fast motion limit. JHEP 0601, 050 (2006). doi:10.1088/1126-6708/2006/01/050 (hep-th/0510095)
Freyhult L., Kristjansen C., Mansson T.: Integrable spin chains with U(1)**3 symmetry and generalized Lunin–Maldacena backgrounds. JHEP 0512, 008 (2005). doi:10.1088/1126-6708/2005/12/008 (hep-th/0510221)
Bobev N.P., Dimov H., Rashkov R.C.: Semiclassical strings, dipole deformations of N = 1 SYM and decoupling of KK modes. JHEP 0602, 064 (2006). doi:10.1088/1126-6708/2006/02/064 (hep-th/0511216)
McLoughlin T., Swanson I.: Integrable twists in AdS/CFT. JHEP 0608, 084 (2006). doi:10.1088/1126-6708/2006/08/084 (hep-th/0605018)
Swanson I.: A review of integrable deformations in AdS/CFT. Mod. Phys. Lett. A 22, 915 (2007). doi:10.1142/S0217732307023614 (arxiv:0705.2844)
Beisert N., Koroteev P.: Quantum deformations of the one-dimensional Hubbard model. J. Phys. A 41, 255204 (2008). doi:10.1088/1751-8113/41/25/255204 (arxiv:0802. 0777)
Kachru S., Silverstein E.: 4d conformal theories and strings on orbifolds. Phys. Rev. Lett. 80, 4855 (1998). doi:10.1103/PhysRevLett.80.4855 (hep-th/9802183)
Lawrence A.E., Nekrasov N., Vafa C.: On conformal field theories in four dimensions. Nucl. Phys. B 533, 199 (1998). doi:10.1016/S0550-3213(98)00495-7 (hep-th/ 9803015)
Ideguchi K.: Semiclassical strings on AdS(5) × S**5/Z(M) and operators in orbifold field theories. JHEP 0409, 008 (2004). doi:10.1088/1126-6708/2004/09/008 (hep-th/0408014)
Beisert N., Roiban R.: The Bethe ansatz for Z(S) orbifolds of N = 4 super Yang–Mills theory. JHEP 0511, 037 (2005). doi:10.1088/1126-6708/2005/11/037 (hep-th/0510209)
Solovyov A.: Bethe ansatz equations for general orbifolds of N = 4 SYM. JHEP 0804, 013 (2008). doi:10.1088/1126-6708/2008/04/013 (arxiv:0711.1697)
Sadri D., Sheikh-Jabbari M.M.: Integrable spin chains on the conformal moose. JHEP 0603, 024 (2006). doi:10.1088/1126-6708/2006/03/024 (hep-th/0510189)
Astolfi D., Forini V., Grignani G., Semenoff G.W.: Gauge invariant finite size spectrum of the giant magnon. Phys. Lett. B 651, 329 (2007). doi:10.1016/j.physletb.2007.06.002 (hep-th/0702043)
Arutyunov G., Frolov S., Zamaklar M.: Finite-size effects from giant magnons. Nucl. Phys. B 778, 1 (2007). doi:10.1016/j.nuclphysb.2006.12.026 (hep-th/0606126)
Ramadanovic B., Semenoff G.W.: Finite size giant magnon. Phys. Rev. D 79, 126006 (2009). doi:10.1103/PhysRevD.79.126006 (arxiv:0803.4028)
Bertolini M., de Boer J., Harmark T., Imeroni E., Obers N.A.: Gauge theory description of compactified pp-waves. JHEP 0301, 016 (2003). doi:10.1088/1126-6708/2003/01/016 (hep-th/0209201)
Astolfi D., Grignani G., Harmark T., Orselli M.: Finite-size corrections to the rotating string and the winding state. JHEP 0808, 099 (2008). doi:10.1088/1126-6708/2008/08/099
Mukhi S., Rangamani M., Verlinde E.P.: Strings from quivers, membranes from moose. JHEP 0205, 023 (2002). doi:10.1088/1126-6708/2002/05/023 (hep-th/0204147)
Astolfi D., Forini V., Grignani G., Semenoff G.W.: Finite size corrections and integrability of N = 2 SYM and DLCQ strings on a pp-wave. JHEP 0609, 056 (2006). doi:10.1088/1126-6708/2006/09/056 (hep-th/0606193)
De Risi G., Grignani G., Orselli M., Semenoff G.W.: DLCQ string spectrum from N = 2 SYM theory. JHEP 0411, 053 (2004). doi:10.1088/1126-6708/2004/11/053 (hep-th/0409315)
Gadde, A., Pomoni, E., Rastelli, L.: Spin chains in N = 2 superconformal theories: from the Z 2 quiver to superconformal QCD. arxiv:1006.0015
Gadde, A., Rastelli, L.: Twisted magnons. arxiv:1012.2097
Bershadsky M., Johansen A.: Large N limit of orbifold field theories. Nucl. Phys. B 536, 141 (1998). doi:10.1016/S0550-3213(98)00526-4 (hep-th/9803249)
Klebanov I.R., Witten E.: Superconformal field theory on threebranes at a Calabi–Yau singularity. Nucl. Phys. B 536, 199 (1998). doi:10.1016/S0550-3213(98)00654-3 (hep-th/9807080)
Schvellinger M.: Spinning and rotating strings for N = 1 SYM theory and brane constructions. JHEP 0402, 066 (2004). doi:10.1088/1126-6708/2004/02/066 (hep-th/0309161)
Kim N.: Multi-spin strings on AdS(5) × T(1,1) and operators of N = 1 superconformal theory”. Phys. Rev. D 69, 126002 (2004). doi:10.1103/PhysRevD.69.126002 (hep-th/0312113)
Wang X.-J.: Spinning strings on deformed AdS(5) x T(1,1) with NS B-fields. Phys. Rev. D 72, 086006 (2005). doi:10.1103/PhysRevD.72.086006 (hep-th/0501029)
Benvenuti S., Kruczenski M.: Semiclassical strings in Sasaki–Einstein manifolds and long operators in N = 1 gauge theories. JHEP 0610, 051 (2006). doi:10.1088/1126-6708/2006/10/051
Benvenuti S., Tonni E.: Giant magnons and spiky strings on the conifold. JHEP 0902, 041 (2009). doi:10.1088/1126-6708/2009/02/041 (arxiv:0811.0145)
Giataganas D.: Semi-classical Strings in Sasaki-Einstein Manifolds. JHEP 0910, 087 (2009). doi:10.1088/1126-6708/2009/10/087 (arxiv:0904.3125)
Dimov H., Michalcik M., Rashkov R.C.: Strings on the deformed T 1,1: giant magnon and single spike solutions. JHEP 0910, 019 (2009). doi:10.1088/1126-6708/2009/10/019 (arxiv:0908.3065)
Giataganas, D.: Semiclassical strings in marginally deformed toric AdS/CFT. arxiv:1010.1502
Benvenuti S., Tonni E.: Near-flat space limit and Einstein manifolds. JHEP 0802, 022 (2008). doi:10.1088/1126-6708/2008/02/022 (arxiv:0707.1676)
Maldacena J.M., Swanson I.: Connecting giant magnons to the pp-wave: an interpolating limit of AdS5 × S5. Phys. Rev. D 76, 026002 (2007). doi:10.1103/PhysRevD.76.026002 (hep-th/0612079)
Sklyanin E.K.: Boundary conditions for integrable quantum systems. J. Phys. A21, 2375 (1988)
Arnaudon D., Avan J., Crampe N., Doikou A., Frappat L., Ragoucy E.: General boundary conditions for the sl(N) and sl(M|N) open spin chains. J. Stat. Mech. 0408, P005 (2004) math-ph/0406021
Beisert N., Loebbert F.: Open perturbatively long-range integrable gl(N) spin chains. Adv. Sci. Lett. 2, 261 (2009) arxiv:0805.3260
McGreevy J., Susskind L., Toumbas N.: Invasion of the giant gravitons from anti-de Sitter space. JHEP 0006, 008 (2000). doi:10.1088/1126-6708/2000/06/008 (hep-th/0003075)
Berenstein D., Vazquez S.E.: Integrable open spin chains from giant gravitons. JHEP 0506, 059 (2005). doi:10.1088/1126-6708/2005/06/059 (hep-th/0501078)
Agarwal A.: Open spin chains in super Yang-Mills at higher loops: Some potential problems with integrability. JHEP 0608, 027 (2006). doi:10.1088/1126-6708/2006/08/027 (hep-th/0603067)
Hofman D.M., Maldacena J.M.: Reflecting magnons. JHEP 0711, 063 (2007). doi:10.1088/1126-6708/2007/11/063 (arxiv:0708.2272)
Mann N., Vazquez S.E.: Classical open string integrability. JHEP 0704, 065 (2007). doi:10.1088/1126-6708/2007/04/065 (hep-th/0612038)
Berenstein D., Correa D.H., Vazquez S.E.: Quantizing open spin chains with variable length: an example from giant gravitons. Phys. Rev. Lett. 95, 191601 (2005). doi:10.1103/PhysRevLett.95.191601 (hep-th/0502172)
Berenstein D., Correa D.H., Vazquez S.E.: A study of open strings ending on giant gravitons, spin chains and integrability. JHEP 0609, 065 (2006). doi:10.1088/1126-6708/2006/09/065 (hep-th/0604123)
Ciavarella A.: Giant magnons and non-maximal giant gravitons. JHEP 1101, 040 (2011). doi:10.1007/JHEP01(2011)040 (arxiv:1011.1440)
Chen H.-Y., Correa D.H.: Comments on the boundary scattering phase. JHEP 0802, 028 (2008). doi:10.1088/1126-6708/2008/02/028 (arxiv:0712.1361)
Murgan R., Nepomechie R.I.: Open-chain transfer matrices for AdS/CFT. JHEP 0809, 085 (2008). doi:10.1088/1126-6708/2008/09/085 (arxiv:0808.2629)
Murgan R., Nepomechie R.I.: q-deformed su(2|2) boundary S-matrices via the ZF algebra. JHEP 0806, 096 (2008). doi:10.1088/1126-6708/2008/06/096 (arxiv:0805.3142)
Murgan R.: A note on open-chain transfer matrices from q-deformed su(2|2) S-matrices. Fortschr. Phys. 57, 895 (2009). doi:10.1002/prop.200900080 (arxiv:0906. 4361)
Ahn C., Nepomechie R.I.: Yangian symmetry and bound states in AdS/CFT boundary scattering. JHEP 1005, 016 (2010). doi:10.1007/JHEP05(2010)016 (arxiv:1003.3361)
MacKay N., Regelskis V.: Yangian symmetry of the Y = 0 maximal giant graviton. JHEP 1012, 076 (2010). doi:10.1007/JHEP12(2010)076 (arxiv:1010.3761)
Galleas W.: The Bethe ansatz equations for reflecting magnons. Nucl. Phys. B 820, 664 (2009). doi:10.1016/j.nuclphysb.2009.04.024
Okamura K., Yoshida K.: Higher loop Bethe ansatz for open spin-chains in AdS/CFT. JHEP 0609, 081 (2006). doi:10.1088/1126-6708/2006/09/081 (hep-th/ 0604100)
Nepomechie R.I.: Bethe ansatz equations for open spin chains from giant gravitons. JHEP 0905, 100 (2009). doi:10.1088/1126-6708/2009/05/100 (arxiv:0903.1646)
Bak D.: Zero modes for the boundary giant magnons. Phys. Lett. B 672, 284 (2009). doi:10.1016/j.physletb.2009.01.035 (arxiv:0812.2645)
Ahn C., Bak D., Rey S.-J.: Reflecting magnon bound states. JHEP 0804, 050 (2008). doi:10.1088/1126-6708/2008/04/050 (arxiv:0712.4144)
Palla L.: Issues on magnon reflection. Nucl. Phys. B 808, 205 (2009). doi:10.1016/j.nuclphysb.2008.09.021 (arxiv:0807.3646)
Ahn C., Nepomechie R.I.: The Zamolodchikov–Faddeev algebra for open strings attached to giant gravitons. JHEP 0805, 059 (2008). doi:10.1088/1126-6708/2008/05/059 (arxiv:0804.4036)
Correa, D.H., Young, C.A.S.: Asymptotic Bethe equations for open boundaries in planar AdS/CFT. arxiv:0912.0627
Correa D.H., Young C.A.S.: Finite size corrections for open strings/open chains in planar AdS/CFT. JHEP 0908, 097 (2009). doi:10.1088/1126-6708/2009/08/097 (arxiv:0905.1700)
Bajnok Z., Palla L.: Boundary finite size corrections for multiparticle states and planar AdS/CFT. JHEP 1101, 011 (2011). doi:10.1007/JHEP01(2011)011
Ciavarella A., Bowcock P.: Boundary giant magnons and giant gravitons. JHEP 1009, 072 (2010). doi:10.1007/JHEP09(2010)072 (arxiv:1007.1674)
Correa D.H., Silva G.A.: Dilatation operator and the super Yang–Mills duals of open strings on AdS giant gravitons. JHEP 0611, 059 (2006). doi:10.1088/1126-6708/2006/11/059 (hep-th/0608128)
Sadri D., Sheikh-Jabbari M.M.: Giant hedge-hogs: spikes on giant gravitons. Nucl. Phys. B 687, 161 (2004). doi:10.1016/j.nuclphysb.2004.03.013 (hep-th/0312155)
Hirano S.: Fat magnon. JHEP 0704, 010 (2007). doi:10.1088/1126-6708/2007/04/010 (hep-th/0610027)
de Mello Koch R., Dey T.K., Ives N., Stephanou M.: Hints of integrability beyond the planar limit. JHEP 1001, 014 (2010). doi:10.1007/JHEP01(2010)014 (arxiv:0911.0967)
Drukker N., Kawamoto S.: Small deformations of supersymmetric Wilson loops and open spin-chains. JHEP 0607, 024 (2006). doi:10.1088/1126-6708/2006/07/024 (hep-th/0604124)
Caputa P., Kristjansen C., Zoubos K.: On the spectral problem of N = 4 SYM with orthogonal or symplectic gauge group. JHEP 1010, 082 (2010). doi:10.1007/JHEP10(2010)082 (arxiv:1005.2611)
Berenstein, D.E., Gava, E., Maldacena, J.M., Narain, K.S., Nastase, H.S.: Open strings on plane waves and their Yang–Mills duals. hep-th/0203249
Stefanski B. Jr.: Open spinning strings. JHEP 0403, 057 (2004). doi:10.1088/1126-6708/2004/03/057 (hep-th/0312091)
Chen B., Wang X.-J., Wu Y.-S.: Integrable open spin chain in super Yang–Mills and the plane-wave/SYM duality. JHEP 0402, 029 (2004). doi:10.1088/1126-6708/2004/02/029 (hep-th/0401016)
Chen B., Wang X.-J., Wu Y.-S.: Open spin chain and open spinning string. Phys. Lett. B 591, 170 (2004). doi:10.1016/j.physletb.2004.04.013 (hep-th/0403004)
Erler T., Mann N.: Integrable open spin chains and the doubling trick in N = 2 SYM with fundamental matter. JHEP 0601, 131 (2006). doi:10.1088/1126-6708/2006/01/131 (hep-th/0508064)
Correa D.H., Young C.A.S.: Reflecting magnons from D7 and D5 branes. J. Phys. A 41, 455401 (2008). doi:10.1088/1751-8113/41/45/455401 (arxiv:0808.0452)
MacKay N., Regelskis V.: On the reflection of magnon bound states. JHEP 1008, 055 (2010). doi:10.1007/JHEP08(2010)055
DeWolfe O., Mann N.: Integrable open spin chains in defect conformal field theory. JHEP 0404, 035 (2004). doi:10.1088/1126-6708/2004/04/035 (hep-th/0401041)
McLoughlin T., Swanson I.: Open string integrability and AdS/CFT. Nucl. Phys. B 723, 132 (2005). doi:10.1016/j.nuclphysb.2005.06.014 (hep-th/0504203)
Susaki Y., Takayama Y., Yoshida K.: Open semiclassical strings and long defect operators in AdS/dCFT correspondence. Phys. Rev. D 71, 126006 (2005). doi:10.1103/PhysRevD.71.126006 (hep-th/0410139)
Susaki Y., Takayama Y., Yoshida K.: Integrability and higher loops in AdS/dCFT correspondence. Phys. Lett. B 624, 115 (2005). doi:10.1016/j.physletb.2005.07.058 (hep-th/0504209)
Okamura K., Takayama Y., Yoshida K.: Open spinning strings and AdS/dCFT duality. JHEP 0601, 112 (2006). doi:10.1088/1126-6708/2006/01/112 (hep-th/0511139)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zoubos, K. Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries. Lett Math Phys 99, 375–400 (2012). https://doi.org/10.1007/s11005-011-0515-8
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11005-011-0515-8