AdS spacetimes from wrapped M5 branes

TL;DR

This paper characterizes a broad class of supersymmetric AdS spacetimes in eleven-dimensional supergravity derived from wrapped M5-branes, using G-structures to unify and extend previous solutions and identify dual field theory symmetries.

Contribution

It provides a comprehensive geometric framework for AdS spacetimes from wrapped M5-branes, connecting G-structures with known solutions and constructing new singular geometries.

Findings

Unified G-structure conditions for AdS_3, AdS_4, AdS_5 spacetimes

Revealed R-symmetries as isometries of AdS geometries

Constructed new singular solutions with specific supersymmetry properties

Abstract

We derive a complete geometrical characterisation of a large class of $AdS_3$, $AdS_4$ and $AdS_5$ supersymmetric spacetimes in eleven-dimensional supergravity using G-structures. These are obtained as special cases of a class of supersymmetric $\mathbb{R}^{1,1}$, $\mathbb{R}^{1,2}$ and $\mathbb{R}^{1,3}$ geometries, naturally associated to M5-branes wrapping calibrated cycles in manifolds with $G_2$, SU(3) or SU(2) holonomy. Specifically, the latter class is defined by requiring that the Killing spinors satisfy the same set of projection conditions as for wrapped probe branes, and that there is no electric flux. We show how the R-symmetries of the dual field theories appear as isometries of the general AdS geometries. We also show how known solutions previously constructed in gauged supergravity satisfy our more general G-structure conditions, demonstrate that our conditions for half-BPS $AdS_5$ geometries are precisely those of Lin, Lunin and Maldacena, and construct some new singular solutions.