Rholography, Black Holes and Scherk-Schwarz

TL;DR

This paper introduces 'Rholography', a novel holographic framework connecting twisted superconformal algebras to near-extremal black holes in gauged supergravity, with implications for entropy counting and boundary conditions.

Contribution

It develops a new holographic approach linking R-symmetry gaugings, twisted boundary conditions, and superconformal algebras in black hole solutions derived from Scherk-Schwarz reductions.

Findings

Black hole entropy is holographically counted using twisted MSW/D1-D5 systems.

Superconformal algebras are identified as those studied by Schwimmer and Seiberg with twists.

The construction 'Rholography' reveals new connections between R-symmetries, twists, and holography.

Abstract

We present both the macroscopic and microscopic description of a class of near-extremal asymptotically flat black hole solutions in four (or five) dimensional gauged supergravity with R-symmetry gaugings obtained from Scherk-Schwarz reductions on a circle. The entropy of these black holes is counted holographically by the well known MSW (or D1/D5) system, with certain twisted boundary conditions labeled by a twist parameter \rho. We find that the corresponding (0,4) (or (4,4)) superconformal algebras are exactly those studied by Schwimmer and Seiberg, using a twist on the outer automorphism group. The interplay between R-symmetries, \rho-algebras and holography leads us to name our construction "Rholography".