Branes wrapped on quadrilaterals

Source abstract

Abstract We construct new families of supersymmetric $${\textrm{AdS}}_2\times \mathbb {M}_4$$ AdS 2 × M 4 solutions of $$D=6$$ D = 6 gauged supergravity and $${\textrm{AdS}}_3\times \mathbb {M}_4$$ AdS 3 × M 4 solutions of $$D=7$$ D = 7 gauged supergravity, where $$\mathbb {M}_4$$ 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 $$D=6$$ D = 6 solutions uplift to massive type IIA and describe the near-horizon limit of D4-branes wrapped on $$\mathbb {M}_4$$ M 4 , while the $$D=7$$ D = 7 solutions uplift to $$D=11$$ D = 11 supergravity and describe the near-horizon limit of M5-branes wrapped on $$\mathbb {M}_4$$ 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 Faedo et al. (Lett Math Phys 113:51, 2023. https://doi.org/10.1007/s11005-023-01671-1 . arXiv:2210.16128 ).