Mass-deformed ABJM and Black Holes in AdS$_4$

TL;DR

This paper constructs new supersymmetric dyonic black holes in AdS4, embedded in M-theory, and demonstrates their entropy matches the topologically twisted index of a mass-deformed ABJM theory, linking gravity and field theory.

Contribution

It introduces a new class of supersymmetric black holes in AdS4 with explicit M-theory embedding and connects their entropy to the topologically twisted index of a mass-deformed ABJM theory.

Findings

Black holes asymptotic to SU(3)×U(1) AdS4 vacuum found.

Explicit computation of the topologically twisted index matches black hole entropy.

Black holes described by wrapped M2-branes on Riemann surfaces.

Abstract

We find a class of new supersymmetric dyonic black holes in four-dimensional maximal gauged supergravity which are asymptotic to the ${\rm SU(3)}\times {\rm U(1)}$ invariant AdS$_4$ Warner vacuum. These black holes can be embedded in eleven-dimensional supergravity where they describe the backreaction of M2-branes wrapped on a Riemann surface. The holographic dual description of these supergravity backgrounds is given by a partial topological twist on a Riemann surface of a three-dimensional $\mathcal{N}=2$ SCFT that is obtained by a mass-deformation of the ABJM theory. We compute explicitly the topologically twisted index of this SCFT and show that it accounts for the entropy of the black holes.