Anti-de Sitter gravity associated with the supergroup $SU(1,1|2)\times SU(1,1|2)$

TL;DR

This paper constructs a three-dimensional anti-de Sitter supergravity theory based on the supergroup $SU(1,1|2) imes SU(1,1|2)$, utilizing the Chern-Simons formulation to determine its field content and action.

Contribution

It introduces a new explicit construction of AdS supergravity in three dimensions linked to a specific supergroup, expanding the understanding of supergravity models.

Findings

Field content of the supergravity theory identified

Action formulated using Chern-Simons theory principles

Provides a foundation for further studies in AdS/CFT correspondence

Abstract

We construct the anti-de Sitter supergravity in three dimensions associated with the supergroup $SU(1,1|2)\times SU(1,1|2)$. The field content and the action are inferred using the fact that $AdS$ supergravity theories in three dimensions are Chern-Simons theories.