Schur-like index of the Klebanov-Witten theory via the AdS/CFT correspondence

TL;DR

This paper computes a Schur-like superconformal index for the Klebanov-Witten theory using AdS/CFT correspondence and giant graviton expansion, confirming results with gauge theory calculations.

Contribution

It introduces a new formula for the index involving D3-brane contributions and validates it through numerical comparison with gauge theory results.

Findings

The formula accurately reproduces the superconformal index.

Inclusion of D3-brane contributions is essential for correctness.

Numerical checks confirm the validity of the giant graviton expansion approach.

Abstract

We calculate an unrefined limit of the superconformal index (the Schur-like index) of the Klebanov-Witten theory from the dual AdS side by using the recently developed giant graviton expansion method. Our formula includes multiple sums of the contribution of the D3-branes wrapped on three-cycles in the internal space. We numerically confirm the validity of our formula by comparing indices obtained by the formula with the gauge theory results.