Abstract
We find a new family of non-supersymmetric numerical solutions of IIB supergravity which are dual to the \( \mathcal{N} = 1 \) cascading “conifold” theory perturbed by certain combinations of relevant single trace and marginal double trace operators with non infinitesimal couplings. The SUSY is broken but the resulting ground states, and their gravity duals, remain stable, at least perturbatively. Despite the complicated field theory dynamics the gravity solutions have a simple structure. They feature the Ricci-flat non-Kähler metric on the deformed conifold and the imaginary self-dual three-form flux accompanied by a constant dilaton.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
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. 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].
S. Kuperstein, Nonsupersymmetric deformation of the Klebanov-Strassler model and the related plane wave theory, Subnucl. Ser. 41 (2003) 498 [hep-th/0311138] [INSPIRE].
A. Dymarsky, On gravity dual of a metastable vacuum in Klebanov-Strassler theory, JHEP 05 (2011) 053 [arXiv:1102.1734] [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. Bennett, E. Caceres, C. Núñez, D. Schofield and S. Young, The non-SUSY baryonic branch: soft supersymmetry breaking of N = 1 gauge theories, JHEP 05 (2012) 031 [arXiv:1111.1727] [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].
J. Gaillard, D. Martelli, C. Núñez and I. Papadimitriou, The warped, resolved, deformed conifold gets flavoured, Nucl. Phys. B 843 (2011) 1 [arXiv:1004.4638] [INSPIRE].
E. Caceres, C. Núñez and L.A. Pando-Zayas, Heating up the baryonic branch with U-duality: a unified picture of conifold black holes, JHEP 03 (2011) 054 [arXiv:1101.4123] [INSPIRE].
D. Elander, J. Gaillard, C. Núñez and M. Piai, Towards multi-scale dynamics on the baryonic branch of Klebanov-Strassler, JHEP 07 (2011) 056 [arXiv:1104.3963] [INSPIRE].
A. Dymarsky, S. Kuperstein and J. Sonnenschein, Chiral symmetry breaking with non-SUSY D7-branes in ISD backgrounds, JHEP 08 (2009) 005 [arXiv:0904.0988] [INSPIRE].
A. Dymarsky, Flavor brane on the baryonic branch of moduli space, JHEP 03 (2010) 067 [arXiv:0909.3083] [INSPIRE].
M. Graña and J. Polchinski, Supersymmetric three form flux perturbations on AdS 5, Phys. Rev. D 63 (2001) 026001 [hep-th/0009211] [INSPIRE].
M. Graña and J. Polchinski, Gauge/gravity duals with holomorphic dilaton, Phys. Rev. D 65 (2002)126005 [hep-th/0106014] [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].
P. Candelas and X.C. de la Ossa, Comments on conifolds, Nucl. Phys. B 342 (1990) 246 [INSPIRE].
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] [INSPIRE].
S.S. Gubser, C.P. Herzog and I.R. Klebanov, Variations on the warped deformed conifold, Comptes Rendus Physique 5 (2004) 1031 [hep-th/0409186] [INSPIRE].
L.A. Pando Zayas and A.A. Tseytlin, 3-branes on spaces with R × S 2 × S 3 topology, Phys. Rev. D 63 (2001) 086006 [hep-th/0101043] [INSPIRE].
I.R. Klebanov and E. Witten, Superconformal field theory on three-branes at a Calabi-Yau singularity, Nucl. Phys. B 536 (1998) 199 [hep-th/9807080] [INSPIRE].
A. Ceresole, G. Dall’Agata, R. D’Auria and S. Ferrara, Spectrum of type IIB supergravity on AdS 5 × T 11 : predictions on N = 1 SCFT’s, Phys. Rev. D 61 (2000) 066001 [hep-th/9905226] [INSPIRE].
A. Ceresole, G. Dall’Agata and R. D’Auria, KK spectroscopy of type IIB supergravity on AdS 5 × T 11, JHEP 11 (1999) 009 [hep-th/9907216] [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].
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].
E. Witten, Multitrace operators, boundary conditions and AdS/CFT correspondence, hep-th/0112258 [INSPIRE].
M. Berkooz, A. Sever and A. Shomer, ‘Double trace’ deformations, boundary conditions and space-time singularities, JHEP 05 (2002) 034 [hep-th/0112264] [INSPIRE].
T. Hertog and G.T. Horowitz, Towards a big crunch dual, JHEP 07 (2004) 073 [hep-th/0406134] [INSPIRE].
T. Hertog and G.T. Horowitz, Holographic description of AdS cosmologies, JHEP 04 (2005) 005 [hep-th/0503071] [INSPIRE].
J. Maldacena, Vacuum decay into Anti de Sitter space, arXiv:1012.0274 [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].
S. Kachru et al., Towards inflation in string theory, JCAP 10 (2003) 013 [hep-th/0308055] [INSPIRE].
D. Baumann, A. Dymarsky, I.R. Klebanov, L. McAllister and P.J. Steinhardt, A delicate universe, Phys. Rev. Lett. 99 (2007) 141601 [arXiv:0705.3837] [INSPIRE].
D. Baumann, A. Dymarsky, I.R. Klebanov and L. McAllister, Towards an explicit model of D-brane inflation, JCAP 01 (2008) 024 [arXiv:0706.0360] [INSPIRE].
D. Baumann, A. Dymarsky, S. Kachru, I.R. Klebanov and L. McAllister, Holographic systematics of D-brane inflation, JHEP 03 (2009) 093 [arXiv:0808.2811] [INSPIRE].
A. Dymarsky, D. Melnikov and J. Sonnenschein, Attractive holographic baryons, JHEP 06 (2011) 145 [arXiv:1012.1616] [INSPIRE].
I.R. Klebanov, S.S. Pufu and T. Tesileanu, Membranes with topological charge and AdS 4 /CFT 3 correspondence, Phys. Rev. D 81 (2010) 125011 [arXiv:1004.0413] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1111.1731
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Dymarsky, A., Kuperstein, S. Non-supersymmetric conifold. J. High Energ. Phys. 2012, 33 (2012). https://doi.org/10.1007/JHEP08(2012)033
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2012)033