3D gauged supergravity from wrapped M5-branes with AdS/CMT applications

TL;DR

This paper derives a 3D N=2 supergravity model from wrapped M5-branes, explores supersymmetric solutions including black strings and warped AdS3, and investigates holographic conductivity relevant for condensed matter applications.

Contribution

It provides a new consistent truncation of 11D supergravity to 3D N=2 supergravity from wrapped M5-branes, including supersymmetric solutions and holographic conductivity analysis.

Findings

Derived a supersymmetric 3D supergravity from M5-branes.

Constructed black string and warped AdS3 solutions.

Calculated conductivity of the dual CFT.

Abstract

By identifying a bosonic consistent truncation from the 1/4-BPS wrapped M5-brane geometry of Maldacena, Strominger and Witten in D = 11 supergravity and finding a supersymmetric extension, we recover an N = 2 D = 3 supergravity theory. Reductions of a large class of supersymmetric solutions corresponding to wrapped M2 and M5-branes lead to black strings and warped AdS3 solutions preserving supersymmetry. With a view to AdS/CMT applications, we also construct a numerical hairy BTZ black hole and, as a preliminary step in this direction, determine the conductivity of the dual CFT.