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arXiv · 2402.08724

Branes wrapped on quadrilaterals

Federico Faedo·Alessio Fontanarossa·Dario Martelli
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Abstract

We construct new families of supersymmetric AdS$_2\times\mathbb{M}_4$ solutions of $D=6$ gauged supergravity and AdS$_3\times\mathbb{M}_4$ solutions of $D=7$ gauged supergravity, where $\mathbb{M}_4$ are four-dimensional toric orbifolds with four fixed points. These are presented in a unified fashion, that highlights their common underlying geometry. The $D=6$ solutions uplift to massive type IIA and describe the near-horizon limit of D4-branes wrapped on $\mathbb{M}_4$, while the $D=7$ solutions uplift to $D=11$ supergravity and describe the near-horizon limit of M5-branes wrapped on $\mathbb{M}_4$. We reproduce the entropy and gravitational central charge of the two families by extremizing a function constructed gluing the orbifold gravitational blocks proposed in arXiv:2210.16128.

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Federico Faedo, Alessio Fontanarossa, Dario Martelli. 2024-02-13. Branes wrapped on quadrilaterals. https://doi.org/10.1007/s11005-025-01916-1

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