Mass-deformed M2 branes in Stenzel space

Abstract

We obtain finite-temperature M2 black branes in 11-dimensional supergravity, in a $G_4$-flux background whose self-dual part approaches a solution of Cvetič, Gibbons, Lü, and Pope, based upon Stenzel's family of Ricci-flat Kähler deformed cones. Our solutions are asymptotically $Ad{S}_4$ times a 7-dimensional Stiefel manifold $V_{5,2}$, and the branes are ``smeared'' to retain $SO(5)$ symmetry in the internal space. The solutions represent a mass deformation of the corresponding dual $CF{T}_3$, whose full description is at this time only partially-understood. We investigate the possibility of a confinement/de-confinement phase transition analogous to the $Ad{S}_5\times S^5$ case, and a possible Gregory-Laflamme type instability which could lead to polarised brane solutions which break $SO(5)$. We discuss possible consequences for AdS/CFT and the KKLT cosmological uplift mechanism.

33 pages, 3 figures

References in corpus (7)

• All homogeneous N=2 M-theory truncations with supersymmetric AdS4 vacua
• The Backreaction of Anti-M2 Branes on a Warped Stenzel Space
• M-Branes and Metastable States
• Lumpy AdS${}_5\times$ S${}^5$ Black Holes and Black Belts
• Localised $\mathbf{Ad}{\mathbf{S}}_5\times {\mathbf{S}}^5$ Black Holes
• Polarised antibranes from Smarr relations
• Localised and nonuniform thermal states of super-Yang-Mills on a circle

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• Non-perturbative Aspects of Quantum Field Theories from Holography
• Phase transitions in a three-dimensional analogue of Klebanov-Strassler