A Spin Chain for the Symmetric Product CFT_2

TL;DR

This paper develops a spin chain model for symmetric product CFT_2 operators, analyzing their two-point functions at large N and including first-order corrections, providing insights into their structure and interactions.

Contribution

It introduces a spin chain representation for single-cycle operators in Sym^N T^4 and studies their correlation functions at different perturbation levels.

Findings

Spin chain model effectively describes single-cycle operators.

Two-point functions computed at large N and first order in blow-up mode.

Results reveal operator mixing and interaction effects at the orbifold point.

Abstract

We consider "gauge invariant" operators in Sym^N T^4, the symmetric product orbifold of N copies of the 2d supersymmetric sigma model with T^4 target. We discuss a spin chain representation for single-cycle operators and study their two point functions at large N. We perform systematic calculations at the orbifold point ("tree level"), where non-trivial mixing is already present, and some sample calculations to first order in the blow-up mode of the orbifold ("one loop").