Abstract
We study various semiclassical observables in the duality proposed by Guarino, Jafferis and Varela, between a warped AdS 4× squashed S 6 gravitational solution and a 3 dimensional \( \mathcal{N}=2\ \mathrm{S}\mathrm{Y}\mathrm{M}-{\mathrm{CS}}_k \) conformal gauge theory, deformed from the maximal SU(N) \( \mathcal{N}=8\mathrm{S}\mathrm{Y}\mathrm{M} \). Baryonverticescorrespondingtoparticle-likebraneshaveunusualbehaviour with N and k and present strong evidence for a certain level-rank duality. Wilson loops and the anomalous dimensions of operators of high spin scale like (N/k)3/2. The entanglement entropy behaves like in a usual CFT. Giant magnon operators obey the same law as in 4 dimensional \( \mathcal{N}=4\ \mathrm{S}\mathrm{Y}\mathrm{M} \), and giant gravitons are also sub-determinant operators.
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References
J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [hep-th/9711200] [INSPIRE].
O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M 2-branes and their gravity duals, JHEP 10 (2008) 091 [arXiv:0806.1218] [INSPIRE].
A. Guarino, D.L. Jafferis and O. Varela, String theory origin of dyonic N = 8 supergravity and its Chern-Simons duals, Phys. Rev. Lett. 115 (2015) 091601 [arXiv:1504.08009] [INSPIRE].
A. Guarino, J. Tarrio and O. Varela, Romans-mass-driven flows on the D2-brane, JHEP 08 (2016) 168 [arXiv:1605.09254] [INSPIRE].
J.H. Schwarz, Superconformal Chern-Simons theories, JHEP 11 (2004) 078 [hep-th/0411077] [INSPIRE].
B. de Wit and H. Nicolai, N = 8 supergravity, Nucl. Phys. B 208 (1982) 323 [INSPIRE].
B. de Wit and H. Nicolai, The consistency of the S 7 truncation in D = 11 supergravity, Nucl. Phys. B 281 (1987) 211 [INSPIRE].
H. Nicolai and K. Pilch, Consistent truncation of D = 11 supergravity on AdS 4 × S 7, JHEP 03 (2012) 099 [arXiv:1112.6131] [INSPIRE].
G. Dall’Agata, G. Inverso and M. Trigiante, Evidence for a family of SO(8) gauged supergravity theories, Phys. Rev. Lett. 109 (2012) 201301 [arXiv:1209.0760] [INSPIRE].
G. Dall’Agata, G. Inverso and A. Marrani, Symplectic deformations of gauged maximal supergravity, JHEP 07 (2014) 133 [arXiv:1405.2437] [INSPIRE].
B. de Wit and H. Nicolai, Deformations of gauged SO(8) supergravity and supergravity in eleven dimensions, JHEP 05 (2013) 077 [arXiv:1302.6219] [INSPIRE].
K. Lee, C. Strickland-Constable and D. Waldram, New gaugings and non-geometry, arXiv:1506.03457 [INSPIRE].
C.M. Hull, A new gauging of N = 8 supergravity, Phys. Rev. D 30 (1984) 760.
A. Guarino and O. Varela, Dyonic ISO(7) supergravity and the duality hierarchy, JHEP 02 (2016) 079 [arXiv:1508.04432] [INSPIRE].
C.M. Hull and N.P. Warner, Noncompact gaugings from higher dimensions, Class. Quant. Grav. 5 (1988) 1517 [INSPIRE].
A. Guarino and O. Varela, Consistent N = 8 truncation of massive IIA on S 6, JHEP 12 (2015) 020 [arXiv:1509.02526] [INSPIRE].
O. Varela, AdS 4 solutions of massive IIA from dyonic ISO(7) supergravity, JHEP 03 (2016) 071 [arXiv:1509.07117] [INSPIRE].
Y. Pang and J. Rong, N = 3 solution in dyonic ISO(7) gauged maximal supergravity and its uplift to massive type IIA supergravity, Phys. Rev. D 92 (2015) 085037 [arXiv:1508.05376] [INSPIRE].
Y. Pang and J. Rong, Evidence for the holographic dual of N = 3 solution in massive type IIA, Phys. Rev. D 93 (2016) 065038 [arXiv:1511.08223] [INSPIRE].
M. Fluder and J. Sparks, D2-brane Chern-Simons theories: F -maximization = a-maximization, JHEP 01 (2016) 048 [arXiv:1507.05817] [INSPIRE].
M. Cvetič, H. Lü and C.N. Pope, Gauged six-dimensional supergravity from massive type IIA, Phys. Rev. Lett. 83 (1999) 5226 [hep-th/9906221] [INSPIRE].
E. Bergshoeff, R. Kallosh, T. Ortín, D. Roest and A. Van Proeyen, New formulations of D = 10 supersymmetry and D8-O8 domain walls, Class. Quant. Grav. 18 (2001) 3359 [hep-th/0103233] [INSPIRE].
D. Marolf, Chern-Simons terms and the three notions of charge, in Quantization, gauge theory, and strings. Proceedings, International Conference dedicated to the memory of Professor Efim Fradkin, Vol. 1+2, Moscow Russia, 5-10 June 2000, pg. 312 [hep-th/0006117] [INSPIRE].
O. Bergman and G. Lifschytz, Branes and massive IIA duals of 3d CFT’s, JHEP 04 (2010) 114 [arXiv:1001.0394] [INSPIRE].
F. Apruzzi, M. Fazzi, D. Rosa and A. Tomasiello, All AdS 7 solutions of type-II supergravity, JHEP 04 (2014) 064 [arXiv:1309.2949] [INSPIRE].
F. Apruzzi, M. Fazzi, A. Passias and A. Tomasiello, Supersymmetric AdS 5 solutions of massive IIA supergravity, JHEP 06 (2015) 195 [arXiv:1502.06620] [INSPIRE].
A. Rota and A. Tomasiello, AdS 4 compactifications of AdS 7 solutions in type-II supergravity, JHEP 07 (2015) 076 [arXiv:1502.06622] [INSPIRE].
O. Aharony, D. Jafferis, A. Tomasiello and A. Zaffaroni, Massive type IIA string theory cannot be strongly coupled, JHEP 11 (2010) 047 [arXiv:1007.2451] [INSPIRE].
M.B. Green, C.M. Hull and P.K. Townsend, D-brane Wess-Zumino actions, T -duality and the cosmological constant, Phys. Lett. B 382 (1996) 65 [hep-th/9604119] [INSPIRE].
B. Janssen, Y. Lozano and D. Rodriguez-Gomez, The baryon vertex with magnetic flux, JHEP 11 (2006) 082 [hep-th/0606264] [INSPIRE].
N. Gutierrez, Y. Lozano and D. Rodriguez-Gomez, Charged particle-like branes in ABJM, JHEP 09 (2010) 101 [arXiv:1004.2826] [INSPIRE].
Y. Lozano, M. Picos, K. Sfetsos and K. Siampos, ABJM baryon stability and Myers effect, JHEP 07 (2011) 032 [arXiv:1105.0939] [INSPIRE].
D.S. Freed and E. Witten, Anomalies in string theory with D-branes, Asian J. Math. 3 (1999) 819 [hep-th/9907189] [INSPIRE].
O. Aharony, A. Hashimoto, S. Hirano and P. Ouyang, D-brane charges in gravitational duals of 2 + 1 dimensional gauge theories and duality cascades, JHEP 01 (2010) 072 [arXiv:0906.2390] [INSPIRE].
D. Gaiotto and A. Tomasiello, The gauge dual of Romans mass, JHEP 01 (2010) 015 [arXiv:0901.0969] [INSPIRE].
E. Witten, Baryons and branes in anti-de Sitter space, JHEP 07 (1998) 006 [hep-th/9805112] [INSPIRE].
P.-S. Hsin and N. Seiberg, Level/rank duality and Chern-Simons-matter theories, JHEP 09 (2016) 095 [arXiv:1607.07457] [INSPIRE].
S.G. Naculich, H.A. Riggs and H.J. Schnitzer, Group level duality in WZW models and Chern-Simons theory, Phys. Lett. B 246 (1990) 417 [INSPIRE].
E.J. Mlawer, S.G. Naculich, H.A. Riggs and H.J. Schnitzer, Group level duality of WZW fusion coefficients and Chern-Simons link observables, Nucl. Phys. B 352 (1991) 863 [INSPIRE].
S.G. Naculich and H.J. Schnitzer, Level-rank duality of the U(N) WZW model, Chern-Simons theory and 2D qYM theory, JHEP 06 (2007) 023 [hep-th/0703089] [INSPIRE].
A. Brandhuber, N. Itzhaki, J. Sonnenschein and S. Yankielowicz, Baryons from supergravity, JHEP 07 (1998) 020 [hep-th/9806158] [INSPIRE].
J.M. Maldacena, Wilson loops in large-N field theories, Phys. Rev. Lett. 80 (1998) 4859 [hep-th/9803002] [INSPIRE].
J. Sonnenschein, What does the string/gauge correspondence teach us about Wilson loops?, in Supersymmetry in the theories of fields, strings and branes. Proceedings, Advanced School, Santiago de Compostela Spain, 26-31 July 1999, pg. 219 [hep-th/0003032] [INSPIRE].
J. McGreevy, L. Susskind and N. Toumbas, Invasion of the giant gravitons from anti-de Sitter space, JHEP 06 (2000) 008 [hep-th/0003075] [INSPIRE].
M.T. Grisaru, R.C. Myers and O. Tafjord, SUSY and Goliath, JHEP 08 (2000) 040 [hep-th/0008015] [INSPIRE].
A. Hashimoto, S. Hirano and N. Itzhaki, Large branes in AdS and their field theory dual, JHEP 08 (2000) 051 [hep-th/0008016] [INSPIRE].
T. Nishioka and T. Takayanagi, Fuzzy ring from M 2-brane giant torus, JHEP 10 (2008) 082 [arXiv:0808.2691] [INSPIRE].
A. Hamilton, J. Murugan, A. Prinsloo and M. Strydom, A note on dual giant gravitons in AdS 4 ×CP 3, JHEP 04 (2009) 132 [arXiv:0901.0009] [INSPIRE].
C. Cardona and H. Nastase, Open strings on D-branes from ABJM, JHEP 06 (2015) 016 [arXiv:1407.1764] [INSPIRE].
M. Herrero, Y. Lozano and M. Picos, Dielectric 5-branes and giant gravitons in ABJM, JHEP 08 (2011) 132 [arXiv:1107.5475] [INSPIRE].
C. Núñez, M. Piai and A. Rago, Wilson loops in string duals of walking and flavored systems, Phys. Rev. D 81 (2010) 086001 [arXiv:0909.0748] [INSPIRE].
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, A semiclassical limit of the gauge/string correspondence, Nucl. Phys. B 636 (2002) 99 [hep-th/0204051] [INSPIRE].
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT, Phys. Rev. Lett. 96 (2006) 181602 [hep-th/0603001] [INSPIRE].
I.R. Klebanov, D. Kutasov and A. Murugan, Entanglement as a probe of confinement, Nucl. Phys. B 796 (2008) 274 [arXiv:0709.2140] [INSPIRE].
D.M. Hofman and J.M. Maldacena, Giant magnons, J. Phys. A 39 (2006) 13095 [hep-th/0604135] [INSPIRE].
D.E. Berenstein, J.M. Maldacena and H.S. Nastase, Strings in flat space and pp waves from N = 4 super Yang-Mills, JHEP 04 (2002) 013[hep-th/0202021] [INSPIRE].
T. Araujo, G. Itsios, H. Nastase and E. Ó. Colgáin, Penrose limits and spin chains in the GJV/CS-SYM duality, arXiv:1706.02711 [INSPIRE].
C.N. Pope, Eigenfunctions and Spin(c) structures in CP 2, Phys. Lett. B 97 (1980) 417 [INSPIRE].
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Araujo, T.R., Nastase, H. Observables in the Guarino-Jafferis-Varela/CS-SYM duality. J. High Energ. Phys. 2017, 20 (2017). https://doi.org/10.1007/JHEP07(2017)020
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DOI: https://doi.org/10.1007/JHEP07(2017)020