Abstract
Non-perturbative D-brane instanton effects in 4d \( \mathcal{N}=1 \) string compactifications can be geometrized in terms of a backreacted generalized geometry. We extend earlier results to setups in which the D-brane instanton is charged under the 4d gauge symmetries, and show that the backreacted topology yields the correct charged field theory operators in the 4d effective action. In type IIA models with D6-branes, the backreaction of D2-brane instantons forces the recombination of D6-branes, such that the 4d charged field theory operators arise from basic worldsheet instantons in the backreacted geometry. We provide large classes of examples of D2-brane instanton effects on intersecting D6-brane systems in local models mirror to D3-branes at singularities. The backreacted geometry and the field theory operators are easily encoded in terms of simple operations in the graphs arising from the underlying dimer diagrams. This description agrees, in the appropriate cases, with the complex deformations triggered by certain fractional branes at the bottom of duality cascades.
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References
K. Becker, M. Becker and A. Strominger, Five-branes, membranes and nonperturbative string theory, Nucl. Phys. B 456 (1995) 130 [hep-th/9507158] [INSPIRE].
E. Witten, Nonperturbative superpotentials in string theory, Nucl. Phys. B 474 (1996) 343 [hep-th/9604030] [INSPIRE].
J.A. Harvey and G.W. Moore, Superpotentials and membrane instantons, hep-th/9907026 [INSPIRE].
E. Witten, World sheet corrections via D instantons, JHEP 02 (2000) 030 [hep-th/9907041] [INSPIRE].
S. Kachru, R. Kallosh, A.D. Linde and S.P. Trivedi, De Sitter vacua in string theory, Phys. Rev. D 68 (2003) 046005 [hep-th/0301240] [INSPIRE].
V. Balasubramanian, P. Berglund, J.P. Conlon and F. Quevedo, Systematics of moduli stabilisation in Calabi-Yau flux compactifications, JHEP 03 (2005) 007 [hep-th/0502058] [INSPIRE].
E. García-Valdecasas and A. Uranga, On the 3-form formulation of axion potentials from D-brane instantons, JHEP 02 (2017) 087 [arXiv:1605.08092] [INSPIRE].
G. Dvali, Three-form gauging of axion symmetries and gravity, hep-th/0507215 [INSPIRE].
G. Dvali, R. Jackiw and S.-Y. Pi, Topological mass generation in four dimensions, Phys. Rev. Lett. 96 (2006) 081602 [hep-th/0511175] [INSPIRE].
N. Kaloper and L. Sorbo, A natural framework for chaotic inflation, Phys. Rev. Lett. 102 (2009) 121301 [arXiv:0811.1989] [INSPIRE].
N. Kaloper, A. Lawrence and L. Sorbo, An ignoble approach to large field inflation, JCAP 03 (2011) 023 [arXiv:1101.0026] [INSPIRE].
F. Marchesano, G. Shiu and A.M. Uranga, F-term axion monodromy inflation, JHEP 09 (2014) 184 [arXiv:1404.3040] [INSPIRE].
L. McAllister, E. Silverstein, A. Westphal and T. Wrase, The powers of monodromy, JHEP 09 (2014) 123 [arXiv:1405.3652] [INSPIRE].
A. Retolaza, A.M. Uranga and A. Westphal, Bifid throats for axion monodromy inflation, JHEP 07 (2015) 099 [arXiv:1504.02103] [INSPIRE].
S. Bielleman, L.E. Ibáñez and I. Valenzuela, Minkowski 3-forms, flux string vacua, axion stability and naturalness, JHEP 12 (2015) 119 [arXiv:1507.06793] [INSPIRE].
L.E. Ibáñez, M. Montero, A. Uranga and I. Valenzuela, Relaxion monodromy and the weak gravity conjecture, JHEP 04 (2016) 020 [arXiv:1512.00025] [INSPIRE].
P. Koerber and L. Martucci, From ten to four and back again: how to generalize the geometry, JHEP 08 (2007) 059 [arXiv:0707.1038] [INSPIRE].
P. Koerber and L. Martucci, Warped generalized geometry compactifications, effective theories and non-perturbative effects, Fortsch. Phys. 56 (2008) 862 [arXiv:0803.3149] [INSPIRE].
R. Blumenhagen, M. Cvetič and T. Weigand, Spacetime instanton corrections in 4D string vacua: the seesaw mechanism for D-brane models, Nucl. Phys. B 771 (2007) 113 [hep-th/0609191] [INSPIRE].
L.E. Ibáñez and A.M. Uranga, Neutrino Majorana masses from string theory instanton effects, JHEP 03 (2007) 052 [hep-th/0609213] [INSPIRE].
B. Florea, S. Kachru, J. McGreevy and N. Saulina, Stringy instantons and quiver gauge theories, JHEP 05 (2007) 024 [hep-th/0610003] [INSPIRE].
R. Blumenhagen, M. Cvetič, S. Kachru and T. Weigand, D-brane instantons in type II orientifolds, Ann. Rev. Nucl. Part. Sci. 59 (2009) 269 [arXiv:0902.3251] [INSPIRE].
L.E. Ibáñez and A.M. Uranga, String theory and particle physics: an introduction to string phenomenology, Cambridge University Press, Cambridge U.K., (2012) [INSPIRE].
L.E. Ibáñez, A.N. Schellekens and A.M. Uranga, Instanton induced neutrino Majorana masses in CFT orientifolds with MSSM-like spectra, JHEP 06 (2007) 011 [arXiv:0704.1079] [INSPIRE].
R. Blumenhagen, M. Cvetič, D. Lüst, R. Richter and T. Weigand, Non-perturbative Yukawa couplings from string instantons, Phys. Rev. Lett. 100 (2008) 061602 [arXiv:0707.1871] [INSPIRE].
M. Cvetič, J. Halverson and P. Langacker, Singlet extensions of the MSSM in the quiver landscape, JHEP 09 (2010) 076 [arXiv:1006.3341] [INSPIRE].
M. Cvetič, J. Halverson, P. Langacker and R. Richter, The Weinberg operator and a lower string scale in orientifold compactifications, JHEP 10 (2010) 094 [arXiv:1001.3148] [INSPIRE].
R. Argurio, M. Bertolini, S. Franco and S. Kachru, Gauge/gravity duality and meta-stable dynamical supersymmetry breaking, JHEP 01 (2007) 083 [hep-th/0610212] [INSPIRE].
R. Argurio, M. Bertolini, S. Franco and S. Kachru, Meta-stable vacua and D-branes at the conifold, JHEP 06 (2007) 017 [hep-th/0703236] [INSPIRE].
M. Cvetič and T. Weigand, A string theoretic model of gauge mediated supersymmetry beaking, arXiv:0807.3953 [INSPIRE].
M. Buican and S. Franco, SUSY breaking mediation by D-brane instantons, JHEP 12 (2008) 030 [arXiv:0806.1964] [INSPIRE].
R. Blumenhagen, A. Deser and D. Lüst, FCNC processes from D-brane instantons, JHEP 02 (2011) 079 [arXiv:1007.4770] [INSPIRE].
A. Addazi and M. Bianchi, Neutron Majorana mass from exotic instantons, JHEP 12 (2014) 089 [arXiv:1407.2897] [INSPIRE].
A. Addazi and M. Bianchi, Un-oriented quiver theories for Majorana neutrons, JHEP 07 (2015) 144 [arXiv:1502.01531] [INSPIRE].
A. Addazi and M. Bianchi, Neutron Majorana mass from exotic instantons in a Pati-Salam model, JHEP 06 (2015) 012 [arXiv:1502.08041] [INSPIRE].
R. Argurio, M. Bertolini, G. Ferretti, A. Lerda and C. Petersson, Stringy instantons at orbifold singularities, JHEP 06 (2007) 067 [arXiv:0704.0262] [INSPIRE].
M. Bianchi, F. Fucito and J.F. Morales, D-brane instantons on the T 6 /Z 3 orientifold, JHEP 07 (2007) 038 [arXiv:0704.0784] [INSPIRE].
G. Aldazabal, S. Franco, L.E. Ibáñez, R. Rabadán and A.M. Uranga, Intersecting brane worlds, JHEP 02 (2001) 047 [hep-ph/0011132] [INSPIRE].
G. Aldazabal, S. Franco, L.E. Ibáñez, R. Rabadán and A.M. Uranga, D = 4 chiral string compactifications from intersecting branes, J. Math. Phys. 42 (2001) 3103 [hep-th/0011073] [INSPIRE].
C. Beasley and E. Witten, New instanton effects in supersymmetric QCD, JHEP 01 (2005) 056 [hep-th/0409149] [INSPIRE].
I. Garcia-Etxebarria, F. Marchesano and A.M. Uranga, Non-perturbative F-terms across lines of BPS stability, JHEP 07 (2008) 028 [arXiv:0805.0713] [INSPIRE].
R. Blumenhagen, M. Cvetič, R. Richter and T. Weigand, Lifting D-instanton zero modes by recombination and background fluxes, JHEP 10 (2007) 098 [arXiv:0708.0403] [INSPIRE].
P.K. Tripathy and S.P. Trivedi, D3 brane action and fermion zero modes in presence of background flux, JHEP 06 (2005) 066 [hep-th/0503072] [INSPIRE].
E. Bergshoeff, R. Kallosh, A.-K. Kashani-Poor, D. Sorokin and A. Tomasiello, An index for the Dirac operator on D3 branes with background fluxes, JHEP 10 (2005) 102 [hep-th/0507069] [INSPIRE].
C. Petersson, Superpotentials from stringy instantons without orientifolds, JHEP 05 (2008) 078 [arXiv:0711.1837] [INSPIRE].
D.S. Freed and E. Witten, Anomalies in string theory with D-branes, Asian J. Math. 3 (1999) 819 [hep-th/9907189] [INSPIRE].
J.M. Maldacena, G.W. Moore and N. Seiberg, D-brane instantons and k-theory charges, JHEP 11 (2001) 062 [hep-th/0108100] [INSPIRE].
E. Witten, Baryons and branes in anti-de Sitter space, JHEP 07 (1998) 006 [hep-th/9805112] [INSPIRE].
A. Hanany and K.D. Kennaway, Dimer models and toric diagrams, hep-th/0503149 [INSPIRE].
S. Franco, A. Hanany, K.D. Kennaway, D. Vegh and B. Wecht, Brane dimers and quiver gauge theories, JHEP 01 (2006) 096 [hep-th/0504110] [INSPIRE].
K.D. Kennaway, Brane tilings, Int. J. Mod. Phys. A 22 (2007) 2977 [arXiv:0706.1660] [INSPIRE].
B. Feng, Y.-H. He, K.D. Kennaway and C. Vafa, Dimer models from mirror symmetry and quivering amoebae, Adv. Theor. Math. Phys. 12 (2008) 489 [hep-th/0511287] [INSPIRE].
O. Aharony and A. Hanany, Branes, superpotentials and superconformal fixed points, Nucl. Phys. B 504 (1997) 239 [hep-th/9704170] [INSPIRE].
O. Aharony, A. Hanany and B. Kol, Webs of (p, q) five-branes, five-dimensional field theories and grid diagrams, JHEP 01 (1998) 002 [hep-th/9710116] [INSPIRE].
N.C. Leung and C. Vafa, Branes and toric geometry, Adv. Theor. Math. Phys. 2 (1998) 91 [hep-th/9711013] [INSPIRE].
A. Hanany and D. Vegh, Quivers, tilings, branes and rhombi, JHEP 10 (2007) 029 [hep-th/0511063] [INSPIRE].
S. Franco, A. Hanany and A.M. Uranga, Multi-flux warped throats and cascading gauge theories, JHEP 09 (2005) 028 [hep-th/0502113] [INSPIRE].
I. Garcia-Etxebarria, F. Saad and A.M. Uranga, Quiver gauge theories at resolved and deformed singularities using dimers, JHEP 06 (2006) 055 [hep-th/0603108] [INSPIRE].
S. Franco, A. Hanany, D. Krefl, J. Park, A.M. Uranga and D. Vegh, Dimers and orientifolds, JHEP 09 (2007) 075 [arXiv:0707.0298] [INSPIRE].
O. Aharony and S. Kachru, Stringy instantons and cascading quivers, JHEP 09 (2007) 060 [arXiv:0707.3126] [INSPIRE].
A. Amariti, L. Girardello and A. Mariotti, Stringy instantons as strong dynamics, JHEP 11 (2008) 041 [arXiv:0809.3432] [INSPIRE].
R. Argurio, D. Forcella, A. Mariotti, D. Musso and C. Petersson, Field theory interpretation of N = 2 stringy instantons, JHEP 02 (2013) 002 [arXiv:1211.1884] [INSPIRE].
S. Franco, A. Retolaza and A. Uranga, D-brane instantons as gauge instantons in orientifolds of chiral quiver theories, JHEP 11 (2015) 165 [arXiv:1507.05330] [INSPIRE].
A.M. Uranga, Local models for intersecting brane worlds, JHEP 12 (2002) 058 [hep-th/0208014] [INSPIRE].
S. Franco, A. Hanany, F. Saad and A.M. Uranga, Fractional branes and dynamical supersymmetry breaking, JHEP 01 (2006) 011 [hep-th/0505040] [INSPIRE].
I.R. Klebanov and M.J. Strassler, Supergravity and a confining gauge theory: duality cascades and χSB resolution of naked singularities, JHEP 08 (2000) 052 [hep-th/0007191] [INSPIRE].
D. Forcella, I. Garcia-Etxebarria and A. Uranga, E3-brane instantons and baryonic operators for D3-branes on toric singularities, JHEP 03 (2009) 041 [arXiv:0806.2291] [INSPIRE].
S. Franco and A. Uranga, Bipartite field theories from D-branes, JHEP 04 (2014) 161 [arXiv:1306.6331] [INSPIRE].
I. Garcia-Etxebarria and A.M. Uranga, Non-perturbative superpotentials across lines of marginal stability, JHEP 01 (2008) 033 [arXiv:0711.1430] [INSPIRE].
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García-Valdecasas Tenreiro, E., Uranga, A. Backreacting D-brane instantons on branes at singularities. J. High Energ. Phys. 2017, 61 (2017). https://doi.org/10.1007/JHEP08(2017)061
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DOI: https://doi.org/10.1007/JHEP08(2017)061