5d superconformal indices at large N and holography

TL;DR

This paper derives a formula for the large N superconformal index of 5d theories with AdS(6) holographic duals, incorporating orbifold projections and twisted sectors, and confirms it matches supergravity predictions.

Contribution

It introduces a general formula for the 5d superconformal index at large N for orbifolded theories with holographic duals, including twisted sector contributions.

Findings

The formula matches supergravity expectations.

Explicit computations for Z(2) and Z(3) agree with the formula.

The approach generalizes previous index calculations.

Abstract

We propose a general formula for the perturbative large N superconformal index of 5d quiver fixed point theories that have an AdS(6)xS(4)/Z(n) supergravity dual. This index is obtained from the parent theory by projecting to orbifold-invariant states and adding the twisted sector contributions. Our result agrees with expectations from the dual supergravity description. We test our formula against the direct computation of the index for Z(2) and Z(3) and find complete agreement.