The NS limit of the 5D Superconformal Index

TL;DR

This paper explores the NS limit of the 5D superconformal index, proposing a new method to extract finite results and connecting it to BPS spectra and quiver representations, thus advancing understanding of 5D supersymmetric theories.

Contribution

It introduces a novel prescription for the finite contributions in the 5D NS index and relates it to BPS spectra and quiver descriptions, extending recent 4D techniques.

Findings

The 5D NS index can be computed using a new prescription.

The 5D instanton solitons are interpreted as flavor nodes in BPS quivers.

The approach reproduces known results for U(1) theories.

Abstract

We consider the Nekrasov-Shatashvili (NS) limit of the five-dimensional superconformal index and propose a novel prescription for selecting the finite contributions. Applying the latter to various examples of U(1) theories, we find that the 5D NS index can be reproduced using recent techniques of C\'ordova and Shao, who related the 4D Schur index to the BPS spectrum of the theory on the Coulomb branch. In this picture, the 5D instanton solitons are interpreted as additional flavour nodes in an associated 5D BPS quiver.