A $\mathcal{N}=2$ Supersymmetric $AdS_4$ Solution in M-theory with Purely Magnetic Flux

TL;DR

This paper presents a new $ =2$ supersymmetric $AdS_4$ solution in M-theory with purely magnetic flux, expanding known examples and analyzing its free energy scaling, which intriguingly differs from typical M5-brane expectations.

Contribution

The authors discover a novel $ =2$ $AdS_4$ M-theory solution supported by purely magnetic flux, using T-duality techniques, and analyze its unique free energy scaling behavior.

Findings

The solution is supported by purely magnetic flux.

The free energy scales as $N^{3/2}$, not $N^3$.

It is the second known example in this class.

Abstract

We find a new $\mathcal{N}=2$ $AdS_4$ solution in M-theory supported by purely magnetic flux via a sequence of abelian and non-abelian T-dualities. This provides the second known example in this class besides the uplift of the Pernici and Sezgin solution to 7d gauged supergravity constructed in the eighties. We compute the free energy of the solution, and show that it scales as $N^{3/2}$. It is intriguing that even though the natural holographic interpretation is in terms of M5-branes wrapped on a special Lagrangian 3-cycle, this solution does not exhibit the expected $N^3$ behavior.