Abstract
We present the full numerical solution for the 15-dimensional space of linearized deformations of the Klebanov-Strassler background which preserve the SU(2) × SU(2) × \( {{\mathbb{Z}}_2} \) symmetries. We identify within this space the solution corresponding to anti-D3 branes, (modulo the presence of a certain “subleading” singularity in the infrared). All the 15 integration constants of this solution are fixed in terms of the number of anti-D3 branes, and the solution differs in the UV from the supersymmetric solution into which it is supposed to decay by a mode corresponding to a rescaling of the field theory coordinates. Deciding whether two solutions that differ in the UV by a rescaling mode are dual to the same theory is involved even for supersymmetric Klebanov-Strassler solutions, and we explain in detail some of the subtleties associated to this.
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References
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].
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].
S. Kachru, J. Pearson and H.L. Verlinde, Brane/flux annihilation and the string dual of a nonsupersymmetric field theory, JHEP 06 (2002) 021 [hep-th/0112197] [INSPIRE].
V. Borokhov and S.S. Gubser, Nonsupersymmetric deformations of the dual of a confining gauge theory, JHEP 05 (2003) 034 [hep-th/0206098] [INSPIRE].
I. Bena, M. Graña and N. Halmagyi, On the existence of meta-stable vacua in Klebanov-Strassler, JHEP 09 (2010) 087 [arXiv:0912.3519] [INSPIRE].
I. Bena, G. Giecold, M. Graña, N. Halmagyi and S. Massai, On metastable vacua and the warped deformed conifold: analytic results, Class. Quant. Grav. 30 (2013) 015003 [arXiv:1102.2403] [INSPIRE].
I. Bena, G. Giecold, M. Graña and N. Halmagyi, On the inflaton potential from antibranes in warped throats, JHEP 07 (2012) 140 [arXiv:1011.2626] [INSPIRE].
S. Kachru et al., Towards inflation in string theory, JCAP 10 (2003) 013 [hep-th/0308055] [INSPIRE].
I. Bena, E. Gorbatov, S. Hellerman, N. Seiberg and D. Shih, A note on (meta)stable brane configurations in MQCD, JHEP 11 (2006) 088 [hep-th/0608157] [INSPIRE].
A. Dymarsky, On gravity dual of a metastable vacuum in Klebanov-Strassler theory, JHEP 05 (2011) 053 [arXiv:1102.1734] [INSPIRE].
J. Blaback et al., Smeared versus localised sources in flux compactifications, JHEP 12 (2010) 043 [arXiv:1009.1877] [INSPIRE].
J. Blaback et al., The problematic backreaction of SUSY-breaking branes, JHEP 08 (2011) 105 [arXiv:1105.4879] [INSPIRE].
A. Dymarsky, I.R. Klebanov and N. Seiberg, On the moduli space of the cascading SU(M + p) × SU(P) gauge theory, JHEP 01 (2006) 155 [hep-th/0511254] [INSPIRE].
O. DeWolfe, S. Kachru and M. Mulligan, A gravity dual of metastable dynamical supersymmetry breaking, Phys. Rev. D 77 (2008) 065011 [arXiv:0801.1520] [INSPIRE].
G. Papadopoulos and A.A. Tseytlin, Complex geometry of conifolds and five-brane wrapped on two sphere, Class. Quant. Grav. 18 (2001) 1333 [hep-th/0012034] [INSPIRE].
S.B. Giddings, S. Kachru and J. Polchinski, Hierarchies from fluxes in string compactifications, Phys. Rev. D 66 (2002) 106006 [hep-th/0105097] [INSPIRE].
O. DeWolfe, S. Kachru and H.L. Verlinde, The giant inflaton, JHEP 05 (2004) 017 [hep-th/0403123] [INSPIRE].
D. Marolf, Chern-Simons terms and the three notions of charge, hep-th/0006117 [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].
C.P. Herzog, I.R. Klebanov and P. Ouyang, D-branes on the conifold and N = 1 gauge/gravity dualities, hep-th/0205100 [INSPIRE].
S.S. Gubser, A.A. Tseytlin and M.S. Volkov, NonAbelian 4D black holes, wrapped five-branes and their dual descriptions, JHEP 09 (2001) 017 [hep-th/0108205] [INSPIRE].
I.R. Klebanov and A.A. Tseytlin, Gravity duals of supersymmetric SU(N) × SU(N + M) gauge theories, Nucl. Phys. B 578 (2000) 123 [hep-th/0002159] [INSPIRE].
S. Kuperstein and J. Sonnenschein, Analytic nonsupersymmtric background dual of a confining gauge theory and the corresponding plane wave theory of hadrons, JHEP 02 (2004) 015 [hep-th/0309011] [INSPIRE].
D. Baumann, A. Dymarsky, S. Kachru, I.R. Klebanov and L. McAllister, D3-brane potentials from fluxes in AdS/CFT, JHEP 06 (2010) 072 [arXiv:1001.5028] [INSPIRE].
I. Bena, G. Giecold, M. Graña, N. Halmagyi and F. Orsi, Supersymmetric consistent truncations of IIB on T 1,1, JHEP 04 (2011) 021 [arXiv:1008.0983] [INSPIRE].
D. Cassani and A.F. Faedo, A supersymmetric consistent truncation for conifold solutions, Nucl. Phys. B 843 (2011) 455 [arXiv:1008.0883] [INSPIRE].
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ArXiv ePrint: 1106.6165
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Bena, I., Giecold, G., Graña, M. et al. The backreaction of anti-D3 branes on the Klebanov-Strassler geometry. J. High Energ. Phys. 2013, 60 (2013). https://doi.org/10.1007/JHEP06(2013)060
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DOI: https://doi.org/10.1007/JHEP06(2013)060