A $\mathcal{N}=2$ Supersymmetric $Ad{S}_4$ Solution in M-theory with Purely Magnetic Flux

Abstract

We find a new $\mathcal{N}=2$ $Ad{S}_4$ 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.

19 pages plus appendices. v2 metadata amended, reference added

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Cited by in corpus (12)

• New $Ad{S}_3\times S^2$ T-duals with $\mathcal{N}=(0,4)$ supersymmetry
• The $Ad{S}_5$ non-Abelian T-dual of Klebanov-Witten as a $\mathcal{N}=1$ linear quiver from M5-branes
• BMN Vacua, Superstars and Non-Abelian T-duality
• AdS${}_4$ solutions of massive IIA from dyonic ISO(7) supergravity
• Penrose limits of Abelian and non-Abelian T-duals of $Ad{S}_5\times S^5$ and their field theory duals
• Holographic Flows in non-Abelian T-dual Geometries
• AdS${}_2$ geometries and non-Abelian T-duality in non-compact spaces
• Line defects as brane boxes in Gaiotto-Maldacena geometries
• Supersymmetric IIB Background with AdS_4 Vacua from Massive IIA Supergravity
• D-branes and non-Abelian T-duality
• Mink${}_3\times S^3$ solutions of type II supergravity
• Mesons from (non) Abelian T-dual backgrounds