Three-point functions for M^N/S^N orbifolds with N=4 supersymmetry

TL;DR

This paper computes explicit three-point correlation functions for chiral operators in N=4 supersymmetric orbifold conformal field theories, revealing simplified universal expressions at large N.

Contribution

It constructs a class of chiral operators from twist fields and superconformal generators, and derives explicit, universal three-point functions in N=4 supersymmetric orbifold CFTs.

Findings

Explicit 3-point functions for chiral operators at large N

Universal expressions independent of M (T^4 or K3)

Simpler results compared to bosonic orbifold theories

Abstract

The D1-D5 system is believed to have an `orbifold point' in its moduli space where its low energy theory is a N=4 supersymmetric sigma model with target space M^N/S^N, where M is T^4 or K3. We study correlation functions of chiral operators in CFTs arising from such a theory. We construct a basic class of chiral operators from twist fields of the symmetric group and the generators of the superconformal algebra. We find explicitly the 3-point functions for these chiral fields at large N; these expressions are `universal' in that they are independent of the choice of M. We observe that the result is a significantly simpler expression than the corresponding expression for the bosonic theory based on the same orbifold target space.