Abstract
We find a class of new supersymmetric dyonic black holes in four-dimensional maximal gauged supergravity which are asymptotic to the SU(3) × U(1) invariant AdS4 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.
Highlights
Holography has evolved into an indispensable tool to study the dynamics of strongly coupled quantum field theories
We show that the end result for the magnetic index, IMmABJM(ni), in the mABJM theory is the same irrespective of whether one first applies the mass deformation to the ABJM twisted index, IMABJM(nα; ∆α), to obtain the corresponding twisted index, IMmABJM(ni; ∆i), which is extremized with respect to its fugacities, or, equivalently, one extremizes IMABJM(nα; ∆α) while imposing simultaneously two constraints on the fugacities: the one for the mass deformation and the one for the topological twist
In this paper we studied the topologically twisted index of the mABJM SCFT which can be thought of as an interacting IR fixed point arising from the ABJM theory deformed by an N = 2 preserving mass term
Summary
Holography has evolved into an indispensable tool to study the dynamics of strongly coupled quantum field theories. The basic idea of the recent work is to engineer a black hole in M-theory which is asymptotic to an AdS4 ×M7 solution, where M7 is a Sasaki-Einstein manifold The horizon of such four-dimensional black holes is a compact Riemann surface, Σg. In the planar limit of a large number, N , of coincident M2-branes, one can solve this matrix model and obtain the free energy of the twisted SCFT to leading order in N .3 This in turn reproduces the entropy of the black hole. The supersymmetric black hole solutions of interest are similar to the ones found in [38,39,40] They have non-vanishing gauge fields lying in the Cartan subalgebra of SU(3) × U(1).
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