Abstract
Anti-D3-branes at the tip of the Klebanov-Strassler solution with D3-charge dissolved in fluxes give rise, in the probe approximation, to a metastable state. The fully back-reacted smeared solution has singular three-form fluxes in the IR, whose presence suggests a stringy resolution by brane polarization à la Polchinski-Strassler. In this paper we show that there is no polarization into anti-D5-branes wrapping the S 2 of the conifold at a finite radius. The singularities therefore do not seem to be physical, signaling that antibranes cannot be used to uplift AdS and obtain a very large landscape of de Sitter vacua in string theory.
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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, 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].
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, N. Halmagyi and S. Massai, The backreaction of anti-D3 branes on the Klebanov-Strassler geometry, JHEP 06 (2013) 060 [arXiv:1106.6165] [INSPIRE].
A. Dymarsky, On gravity dual of a metastable vacuum in Klebanov-Strassler theory, JHEP 05 (2011) 053 [arXiv:1102.1734] [INSPIRE].
I. Bena, M. Graña, S. Kuperstein and S. Massai, Anti-D3’s - Singular to the Bitter End, Phys. Rev. D 87 (2013) 106010 [arXiv:1206.6369] [INSPIRE].
L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, The supergravity dual of N = 1 super Yang-Mills theory, Nucl. Phys. B 569 (2000) 451 [hep-th/9909047] [INSPIRE].
J. Polchinski and M.J. Strassler, The string dual of a confining four-dimensional gauge theory, hep-th/0003136 [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].
H. Lin, O. Lunin and J.M. Maldacena, Bubbling AdS space and 1/2 BPS geometries, JHEP 10 (2004) 025 [hep-th/0409174] [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].
I. Bena, A. Buchel and O.J. Dias, Horizons cannot save the Landscape, Phys. Rev. D 87 (2013) 063012 [arXiv:1212.5162] [INSPIRE].
R.C. Myers, Dielectric branes, JHEP 12 (1999) 022 [hep-th/9910053] [INSPIRE].
C. Krishnan and S. Kuperstein, The mesonic branch of the deformed conifold, JHEP 05 (2008) 072 [arXiv:0802.3674] [INSPIRE].
S.S. Pufu, I.R. Klebanov, T. Klose and J. Lin, Green’s functions and non-singlet glueballs on deformed conifolds, J. Phys. A 44 (2011) 055404 [arXiv:1009.2763] [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].
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].
A. Saltman and E. Silverstein, The scaling of the no scale potential and de Sitter model building, JHEP 11 (2004) 066 [hep-th/0402135] [INSPIRE].
O. Lebedev, H.P. Nilles and M. Ratz, de Sitter vacua from matter superpotentials, Phys. Lett. B 636 (2006) 126 [hep-th/0603047] [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].
M. Rummel and A. Westphal, A sufficient condition for de Sitter vacua in type IIB string theory, JHEP 01 (2012) 020 [arXiv:1107.2115] [INSPIRE].
I. Bena et al., Persistent anti-brane singularities, JHEP 10 (2012) 078 [arXiv:1205.1798] [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].
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] [INSPIRE].
P. Candelas and X.C. de la Ossa, Comments on conifolds, Nucl. Phys. B 342 (1990) 246 [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].
M. Graña and J. Polchinski, Supersymmetric three form flux perturbations on AdS 5, Phys. Rev. D 63 (2001) 026001 [hep-th/0009211] [INSPIRE].
S.S. Gubser, Supersymmetry and F-theory realization of the deformed conifold with three form flux, hep-th/0010010 [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, G. Giecold and N. Halmagyi, The backreaction of Anti-M2 branes on a warped Stenzel space, JHEP 04 (2011) 120 [arXiv:1011.2195] [INSPIRE].
S. Massai, Metastable vacua and the backreacted Stenzel geometry, JHEP 06 (2012) 059 [arXiv:1110.2513] [INSPIRE].
G. Giecold, E. Goi and F. Orsi, Assessing a candidate IIA dual to metastable supersymmetry-breaking, JHEP 02 (2012) 019 [arXiv:1108.1789] [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].
J. Blaback et al., (Anti-)Brane backreaction beyond perturbation theory, JHEP 02 (2012) 025 [arXiv:1111.2605] [INSPIRE].
J. Blaback, U.H. Danielsson and T. Van Riet, Resolving anti-brane singularities through time-dependence, JHEP 02 (2013) 061 [arXiv:1202.1132] [INSPIRE].
S. Massai, A comment on anti-brane singularities in warped throats, arXiv:1202.3789 [INSPIRE].
D.Z. Freedman and J.A. Minahan, Finite temperature effects in the supergravity dual of the N = 1* gauge theory, JHEP 01 (2001) 036 [hep-th/0007250] [INSPIRE].
M. Taylor, Anomalies, counterterms and the N = 0 Polchinski-Strassler solutions, hep-th/0103162 [INSPIRE].
I. Bena and N.P. Warner, A harmonic family of dielectric flow solutions with maximal supersymmetry, JHEP 12 (2004) 021 [hep-th/0406145] [INSPIRE].
I. Bena and C. Ciocarlie, Exact N = 2 supergravity solutions with polarized branes, Phys. Rev. D 70 (2004) 086005 [hep-th/0212252] [INSPIRE].
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ArXiv ePrint: 1212.4828
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Bena, I., Graña, M., Kuperstein, S. et al. Polchinski-Strassler does not uplift Klebanov-Strassler. J. High Energ. Phys. 2013, 142 (2013). https://doi.org/10.1007/JHEP09(2013)142
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DOI: https://doi.org/10.1007/JHEP09(2013)142