Twisted Sectors in Gravity Duals of N=4 Chern-Simons Theories

TL;DR

This paper investigates the Kaluza-Klein modes in AdS_4 x S^3 and confirms their correspondence with BPS operators in N=4 Chern-Simons theories, enhancing understanding of the AdS/CFT duality.

Contribution

It provides a detailed analysis of Kaluza-Klein modes in a specific supergravity background and confirms their exact match with the BPS spectrum of dual gauge theory operators.

Findings

Kaluza-Klein modes match BPS spectrum of N=4 Chern-Simons operators

Confirmed the duality between supergravity modes and gauge theory operators

Enhanced understanding of AdS/CFT correspondence in this context

Abstract

We study Kaluza-Klein modes of a d=7, N=2 vector multiplet in AdS_4 x S^3. Such modes arise in the context of AdS/CFT as dual objects of a class of gauge invariant operators in N=4 Chern-Simons theories. We confirm that the Kaluza-Klein modes precisely reproduce the BPS spectrum of the operators.