Abstract
We solve for the complete space of linearized deformations of the Klebanov-Strassler background consistent with the symmetries preserved by a stack of anti-D3 branes smeared on the S 3 of the deformed conifold. We find that the only solution whose UV physics is consistent with that of a perturbation produced by anti-D3 branes must have a singularity in the infrared, coming from NS and RR three-form field strengths whose energy density diverges. If this singularity is admissible, our solution describes the backreaction of the anti-D3 branes, and is thus likely to be dual to the conjectured metastable vacuum in the Klebanov-Strassler field theory. If this singularity is not admissible, then our analysis strongly suggests that anti-D3 branes do not give rise to metastable Klebanov-Strassler vacua, which would have dramatic consequences for some string theory constructions of de Sitter space. Key to this result is a simple, universal form for the force on a probe D3-brane in our ansatz.
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References
K.A. Intriligator, N. Seiberg and D. Shih, Dynamical SUSY breaking in meta-stable vacua, JHEP 04 (2006) 021 [hep-th/0602239] [SPIRES].
E. Witten, Branes and the dynamics of QCD, Nucl. Phys. B 507 (1997) 658 [hep-th/9706109] [SPIRES].
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] [SPIRES].
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] [SPIRES].
S. Kachru, J. Pearson and H.L. Verlinde, Brane/Flux Annihilation and the String Dual of a Non-Supersymmetric Field Theory, JHEP 06 (2002) 021 [hep-th/0112197] [SPIRES].
H. Ooguri and Y. Ookouchi, Meta-stable supersymmetry breaking vacua on intersecting branes, Phys. Lett. B 641 (2006) 323 [hep-th/0607183] [SPIRES].
S. Franco, I. Garcia-Etxebarria and A.M. Uranga, Non-supersymmetric meta-stable vacua from brane configurations, JHEP 01 (2007) 085 [hep-th/0607218] [SPIRES].
S. Murthy, On supersymmetry breaking in string theory from gauge theory in a throat, JHEP 08 (2007) 013 [hep-th/0703237] [SPIRES].
S. Mukhi and N.V. Suryanarayana, A stable non-BPS configuration from intersecting branes and antibranes, JHEP 06 (2000) 001 [hep-th/0003219] [SPIRES].
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] [SPIRES].
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] [SPIRES].
O. DeWolfe, S. Kachru and M. Mulligan, A Gravity Dual of Metastable Dynamical Supersymmetry Breaking, Phys. Rev. D 77 (2008) 065011 [arXiv:0801.1520] [SPIRES].
S. Kachru et al., Towards inflation in string theory, JCAP 10 (2003) 013 [hep-th/0308055] [SPIRES].
J.M. Maldacena and H.S. Nastase, The supergravity dual of a theory with dynamical supersymmetry breaking, JHEP 09 (2001) 024 [hep-th/0105049] [SPIRES].
R.C. Myers, Dielectric-branes, JHEP 12 (1999) 022 [hep-th/9910053] [SPIRES].
G. Papadopoulos and A.A. Tseytlin, Complex geometry of conifolds and 5-brane wrapped on 2-sphere, Class. Quant. Grav. 18 (2001) 1333 [hep-th/0012034] [SPIRES].
V. Borokhov and S.S. Gubser, Non-supersymmetric deformations of the dual of a confining gauge theory, JHEP 05 (2003) 034 [hep-th/0206098] [SPIRES].
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] [SPIRES].
O. Aharony, A. Buchel and A. Yarom, Holographic renormalization of cascading gauge theories, Phys. Rev. D 72 (2005) 066003 [hep-th/0506002] [SPIRES].
S. Kuperstein and J. Sonnenschein, Analytic non-supersymmetric background dual of a confining gauge theory and the corresponding plane wave theory of hadrons, JHEP 02 (2004) 015 [hep-th/0309011] [SPIRES].
S.S. Gubser, Supersymmetry and F-theory realization of the deformed conifold with three-form flux, hep-th/0010010 [SPIRES].
M. Graña and J. Polchinski, Gauge/gravity duals with holomorphic dilaton, Phys. Rev. D 65 (2002) 126005 [hep-th/0106014] [SPIRES].
M. Graña and J. Polchinski, Supersymmetric three-form flux perturbations on AdS 5, Phys. Rev. D 63 (2001) 026001 [hep-th/0009211] [SPIRES].
P. McGuirk, G. Shiu and Y. Sumitomo, Non-supersymmetric infrared perturbations to the warped deformed conifold, arXiv:0910.4581 [SPIRES].
S.S. Gubser, C.P. Herzog and I.R. Klebanov, Symmetry breaking and axionic strings in the warped deformed conifold, JHEP 09 (2004) 036 [hep-th/0405282] [SPIRES].
A. Butti, M. Graña, R. Minasian, M. Petrini and A. Zaffaroni, The baryonic branch of Klebanov-Strassler solution: A supersymmetric family of SU(3) structure backgrounds, JHEP 03 (2005) 069 [hep-th/0412187] [SPIRES].
V. Balasubramanian, P. Kraus, A.E. Lawrence and S.P. Trivedi, Holographic probes of anti-de Sitter space-times, Phys. Rev. D 59 (1999) 104021 [hep-th/9808017] [SPIRES].
T. Banks, M.R. Douglas, G.T. Horowitz and E.J. Martinec, AdS dynamics from conformal field theory, hep-th/9808016 [SPIRES].
D. Marolf, Chern-Simons terms and the three notions of charge, hep-th/0006117 [SPIRES].
F. Benini, F. Canoura, S. Cremonesi, C. Núñez and A.V. Ramallo, Backreacting Flavors in the Klebanov-Strassler Background, JHEP 09 (2007) 109 [arXiv:0706.1238] [SPIRES].
O. Aharony, A. Hashimoto, S. Hirano and P. Ouyang, D-brane Charges in Gravitational Duals of 2+1 Dimensional Gauge Theories and Duality Cascades, arXiv:0906.2390 [SPIRES].
I. Bena, M. Grana and N. Halmagyi, work in progress.
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] [SPIRES].
O. DeWolfe, S. Kachru and H.L. Verlinde, The giant inflaton, JHEP 05 (2004) 017 [hep-th/0403123] [SPIRES].
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ArXiv ePrint: 0912.3519
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Bena, I., Graña, M. & Halmagyi, N. On the existence of meta-stable vacua in Klebanov-Strassler. J. High Energ. Phys. 2010, 87 (2010). https://doi.org/10.1007/JHEP09(2010)087
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DOI: https://doi.org/10.1007/JHEP09(2010)087