(2,0) Chern-Simons Supergravity Plus Matter Near the Boundary of AdS_3

TL;DR

This paper investigates the boundary behavior of N=(2,0) supergravity in three dimensions coupled to scalar matter, revealing how boundary conditions and superconformal transformations depend on model parameters.

Contribution

It demonstrates the conditions under which regular and irregular boundary conditions can be imposed and how bulk supergravity induces boundary superconformal multiplets with novel features.

Findings

Boundary conditions depend on the size of the sigma model manifold.

Super AdS transformations induce boundary superconformal multiplets.

Unconventional realization of superconformal symmetry observed.

Abstract

We examine the boundary behaviour of the gauged N=(2,0) supergravity in D=3 coupled to an arbitrary number of scalar supermultiplets which parametrize a Kahler manifold. In addition to the gravitational coupling constant, the model depends on two parameters, namely the cosmological constant and the size of the Kahler manifold. It is shown that regular and irregular boundary conditions can be imposed on the matter fields depending on the size of the sigma model manifold. It is also shown that the super AdS transformations in the bulk produce the transformations of the N=(2,0) conformal supergravity and scalar multiplets on the boundary, containing fields with nonvanishing Weyl weights determined by the ratio of the sigma model and the gravitational coupling constants. Various types of (2,0) superconformal multiplets are found on the boundary and in one case the superconformal symmetry is shown to be realized in an unconventional way.