Noncommutative AdS Supergravity in three Dimensions

TL;DR

This paper extends N=4 three-dimensional AdS supergravity to the noncommutative setting, maintaining supersymmetry and solutions analogous to classical AdS_3 space, and explores additional solutions.

Contribution

It introduces a noncommutative generalization of N=4 AdS supergravity in three dimensions, preserving supersymmetry and classical solutions.

Findings

Existence of noncommutative N=4 supersymmetric AdS_3 solutions

Maintenance of supersymmetry in the noncommutative extension

Discussion of additional noncommutative solutions

Abstract

In this paper we propose a generalization of N=4 three dimensional AdS supergravity to the noncommutative case. This is a supersymmetric version of the results presented in hep-th/0201103. We show that it continues to admit an N=4 supersymmetric solution which is the noncommutative couterpart of AdS_3 space. Some other solutions are also discussed.