Effective Actions for Massive Kaluza-Klein States on AdS_3 x S^3 x S^3

TL;DR

This paper constructs the effective supergravity actions for the lowest massive Kaluza-Klein states on the AdS_3 x S^3 x S^3 background, detailing the coupling of supermultiplets and the super Higgs mechanism.

Contribution

It provides the explicit form of the effective supergravity theory for massive KK states, including the coupling to the spin-3/2 multiplet and the realization of the super Higgs effect.

Findings

Effective supergravity actions for massive KK states are constructed.

The super Higgs mechanism breaks half of the supersymmetries.

The boundary theory exhibits large N=(4,4) superconformal symmetry.

Abstract

We construct the effective supergravity actions for the lowest massive Kaluza-Klein states on the supersymmetric background AdS_3 x S^3 x S^3. In particular, we describe the coupling of the supergravity multiplet to the lowest massive spin-3/2 multiplet which contains 256 physical degrees of freedom and includes the moduli of the theory. The effective theory is realized as the broken phase of a particular gauging of the maximal three-dimensional supergravity with gauge group SO(4) x SO(4). Its ground state breaks half of the supersymmetries leading to 8 massive gravitinos acquiring mass in a super Higgs effect. The holographic boundary theory realizes the large N=(4,4) superconformal symmetry.