The spectrum of IIB supergravity on AdS_5 x S^5/Z_3 and a 1/N^2 test of AdS/CFT

TL;DR

This paper computes the full Kaluza-Klein spectrum of IIB supergravity on S^5/Z_3 and uses it to verify the AdS/CFT correspondence by matching the central charge difference c-a with field theory predictions.

Contribution

It provides the complete spectrum for IIB supergravity on S^5/Z_3 and confirms the AdS/CFT duality through a precise 1/N^2 test of the central charge difference.

Findings

The Kaluza-Klein spectrum on S^5/Z_3 is fully determined.

The holographic calculation of c-a matches the field theory result exactly.

Supports the validity of AdS/CFT correspondence for this setup.

Abstract

We present the complete Kaluza-Klein spectrum resulting from the compactification of IIB supergravity on S^5/Z_3. Knowledge of this spectrum allows us to perform a holographic computation of the difference of central charges c-a of the dual SU(N)^3 quiver gauge theory. We find the numerical value c-a=3/16, in exact agreement with the field theory result.