Supersymmetric smooth distributions of M2-branes as AdS solitons

Abstract

We show that the singularities of certain distributions of M2-branes can be removed by adding a Wilson loop around a compact direction along the brane. The holographic coordinate naturally ends up before the singularity and the resulting spacetime provides an AdS soliton configuration, albeit possibly supersymmetric. We study the phase space diagram of these M2-branes distributions endowed with Wilson loops and show that different distributions are interconnected, providing a rich structure of phase transitions at zero temperature.

28 pages, 6 figures

References in corpus (10)

• Boundary Conditions and Dualities: Vector Fields in AdS/CFT
• Supersymmetric solitons and a degeneracy of solutions in AdS/CFT
• Supersymmetric solitons in gauged $\mathcal{N}=8$ supergravity
• Geometry of AdS-Melvin Spacetimes
• New BPS solitons in N=4 gauged supergravity and black holes in Einstein-Yang-Mills-dilaton theory
• New non-extremal and BPS hairy black holes in gauged $\mathcal{N}=2$ and $\mathcal{N}=8$ supergravity
• Phase transitions for charged planar solitons in AdS
• Exact holographic RG flows in extended SUGRA
• Supersymmetric asymptotically locally AdS${}_5$ gravitational solitons
• Holography of AdS Hairy Black Holes and Cardy-Verlinde Formula