Lifshitz Solutions of D=10 and D=11 supergravity

TL;DR

This paper constructs infinite families of Lifshitz solutions in D=10 and D=11 supergravity with dynamical exponent z=2, based on Einstein manifolds, some of which are supersymmetric, providing new dual descriptions of lower-dimensional theories.

Contribution

It introduces new Lifshitz solutions in supergravity theories using Einstein manifolds, including supersymmetric cases, expanding the landscape of holographic duals.

Findings

Solutions are dual to 1+2 and 1+1 dimensional theories.

Solutions include supersymmetric cases with Sasaki-Einstein manifolds.

Infinite families of solutions are constructed.

Abstract

We construct infinite families of Lifshitz solutions of D=10 and D=11 supergravity with dynamical exponent z=2. The new solutions are based on five- and seven-dimensional Einstein manifolds and are dual to theories in 1+2 and 1+1 spacetime dimensions, respectively. When the Einstein spaces are Sasaki-Einstein, the solutions are supersymmetric.