×

Non-supersymmetric conifold. (English) Zbl 1397.83141

Summary: 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.

MSC:

83E30 String and superstring theories in gravitational theory
81T60 Supersymmetric field theories in quantum mechanics

References:

[1] Klebanov, IR; Strassler, MJ, Supergravity and a confining gauge theory: duality cascades and χSB resolution of naked singularities, JHEP, 08, 052, (2000) · Zbl 0986.83041
[2] Kuperstein, S.; Sonnenschein, J., Analytic nonsupersymmtric background dual of a confining gauge theory and the corresponding plane wave theory of hadrons, JHEP, 02, 015, (2004)
[3] Kuperstein, S., Nonsupersymmetric deformation of the Klebanov-Strassler model and the related plane wave theory, Subnucl. Ser., 41, 498, (2003)
[4] Dymarsky, A., On gravity dual of a metastable vacuum in Klebanov-Strassler theory, JHEP, 05, 053, (2011) · Zbl 1296.81091
[5] Papadopoulos, G.; Tseytlin, AA, Complex geometry of conifolds and five-brane wrapped on two sphere, Class. Quant. Grav., 18, 1333, (2001) · Zbl 0984.83045
[6] Bennett, S.; Caceres, E.; Núñez, C.; Schofield, D.; Young, S., The non-SUSY baryonic branch: soft supersymmetry breaking of N = 1 gauge theories, JHEP, 05, 031, (2012)
[7] Butti, A.; Graña, M.; Minasian, R.; Petrini, M.; Zaffaroni, A., The baryonic branch of Klebanov-Strassler solution: a supersymmetric family of SU(3) structure backgrounds, JHEP, 03, 069, (2005)
[8] Gaillard, J.; Martelli, D.; Núñez, C.; Papadimitriou, I., The warped, resolved, deformed conifold gets flavoured, Nucl. Phys., B 843, 1, (2011) · Zbl 1207.83069
[9] Caceres, E.; Núñez, C.; Pando-Zayas, LA, Heating up the baryonic branch with U-duality: a unified picture of conifold black holes, JHEP, 03, 054, (2011) · Zbl 1301.81109
[10] Elander, D.; Gaillard, J.; Núñez, C.; Piai, M., Towards multi-scale dynamics on the baryonic branch of Klebanov-Strassler, JHEP, 07, 056, (2011) · Zbl 1298.81172
[11] Dymarsky, A.; Kuperstein, S.; Sonnenschein, J., Chiral symmetry breaking with non-SUSY D7-branes in ISD backgrounds, JHEP, 08, 005, (2009)
[12] Dymarsky, A., Flavor brane on the baryonic branch of moduli space, JHEP, 03, 067, (2010) · Zbl 1271.81105
[13] Graña, M.; Polchinski, J., Supersymmetric three form flux perturbations on ads_{5}, Phys. Rev., D 63, 026001, (2001)
[14] Graña, M.; Polchinski, J., Gauge/gravity duals with holomorphic Dilaton, Phys. Rev., D 65, 126005, (2002)
[15] Giddings, SB; Kachru, S.; Polchinski, J., Hierarchies from fluxes in string compactifications, Phys. Rev., D 66, 106006, (2002)
[16] Candelas, P.; Ossa, XC, Comments on conifolds, Nucl. Phys., B 342, 246, (1990)
[17] Gubser, SS; Herzog, CP; Klebanov, IR, Symmetry breaking and axionic strings in the warped deformed conifold, JHEP, 09, 036, (2004)
[18] Gubser, SS; Herzog, CP; Klebanov, IR, Variations on the warped deformed conifold, Comptes Rendus Physique, 5, 1031, (2004)
[19] Pando Zayas, LA; Tseytlin, AA, 3-branes on spaces with R × S\^{}{2} × S\^{}{3} topology, Phys. Rev., D 63, 086006, (2001)
[20] Klebanov, IR; Witten, E., Superconformal field theory on three-branes at a Calabi-Yau singularity, Nucl. Phys., B 536, 199, (1998) · Zbl 0948.81619
[21] Ceresole, A.; Dall’Agata, G.; D’Auria, R.; Ferrara, S., Spectrum of type IIB supergravity on ads_{5} × T \^{}{11}: predictions on N = 1 SCFT’s, Phys. Rev., D 61, 066001, (2000)
[22] Ceresole, A.; Dall’Agata, G.; D’Auria, R., KK spectroscopy of type IIB supergravity on ads_{5} × T \^{}{11}, JHEP, 11, 009, (1999) · Zbl 0955.83041
[23] Baumann, D.; Dymarsky, A.; Kachru, S.; Klebanov, IR; McAllister, L., D3-brane potentials from fluxes in AdS/CFT, JHEP, 06, 072, (2010) · Zbl 1288.81091
[24] Borokhov, V.; Gubser, SS, Nonsupersymmetric deformations of the dual of a confining gauge theory, JHEP, 05, 034, (2003)
[25] Bena, I.; Graña, M.; Halmagyi, N., On the existence of meta-stable vacua in Klebanov-Strassler, JHEP, 09, 087, (2010) · Zbl 1291.81292
[26] E. Witten, Multitrace operators, boundary conditions and AdS/CFT correspondence, hep-th/0112258 [INSPIRE].
[27] Berkooz, M.; Sever, A.; Shomer, A., ‘double trace’ deformations, boundary conditions and space-time singularities, JHEP, 05, 034, (2002)
[28] Hertog, T.; Horowitz, GT, Towards a big crunch dual, JHEP, 07, 073, (2004)
[29] Hertog, T.; Horowitz, GT, Holographic description of AdS cosmologies, JHEP, 04, 005, (2005)
[30] J. Maldacena, Vacuum decay into Anti de Sitter space, arXiv:1012.0274 [INSPIRE].
[31] Dymarsky, A.; Klebanov, IR; Seiberg, N., On the moduli space of the cascading SU(M + p) × SU(p) gauge theory, JHEP, 01, 155, (2006)
[32] Kachru, S.; Kallosh, R.; Linde, AD; Trivedi, SP, De Sitter vacua in string theory, Phys. Rev., D 68, 046005, (2003) · Zbl 1244.83036
[33] Kachru, S.; etal., Towards inflation in string theory, JCAP, 10, 013, (2003)
[34] Baumann, D.; Dymarsky, A.; Klebanov, IR; McAllister, L.; Steinhardt, PJ, A delicate universe, Phys. Rev. Lett., 99, 141601, (2007) · Zbl 1228.83108
[35] Baumann, D.; Dymarsky, A.; Klebanov, IR; McAllister, L., Towards an explicit model of D-brane inflation, JCAP, 01, 024, (2008)
[36] Baumann, D.; Dymarsky, A.; Kachru, S.; Klebanov, IR; McAllister, L., Holographic systematics of D-brane inflation, JHEP, 03, 093, (2009)
[37] Dymarsky, A.; Melnikov, D.; Sonnenschein, J., Attractive holographic baryons, JHEP, 06, 145, (2011) · Zbl 1298.81501
[38] Klebanov, IR; Pufu, SS; Tesileanu, T., Membranes with topological charge and ads_{4}/CFT_{3} correspondence, Phys. Rev., D 81, 125011, (2010)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.