An Index for Non-relativistic Superconformal Field Theories

TL;DR

This paper introduces an index for non-relativistic superconformal field theories, analyzes its properties, and computes it for a specific non-relativistic limit of a known superconformal theory, aiding in understanding their structure.

Contribution

It defines and studies a new index for non-relativistic superconformal theories, including explicit computation for a specific N=6 superconformal Chern-Simons-matter theory.

Findings

The index captures key features of non-relativistic superconformal theories.

Properties of the index are systematically analyzed.

Explicit computation for a non-relativistic limit of N=6 theory demonstrates its applicability.

Abstract

We study the highest-weight representation of N=2 supersymmetric Schrodinger algebra which appears in non-relativistic superconformal field theories in (1+2) dimension. We define the index for the non-relativistic superconformal field theories and study its properties. As a concrete example, we compute the index for the non-relativistic limit of N=6 superconformal Chern-Simons-matter theory recently proposed by Aharony et al.