Yukawa Couplings for Bosonic $Z_N$ Orbifolds: Their Moduli and Twisted Sector Dependence

TL;DR

This paper calculates three-point correlation functions with twist fields in bosonic Z_N orbifolds, revealing their dependence on moduli and twisted sectors, and demonstrating target space duality invariance.

Contribution

It provides a general method for determining twist field correlation functions considering various backgrounds and twisted sectors, including a new restriction on contributing instantons.

Findings

Correlation functions are fully determined for general backgrounds and sectors.

The theory exhibits target space duality invariance.

A new restriction on instantons contributing to twist field correlators.

Abstract

The three point correlation functions with twist fields are determined for bosonic $Z_N$ orbifolds. Both the choice of the modular background (compatible with the twist) and of the (higher) twisted sectors involved are fully general. We point out a necessary restriction on the set of instantons contributing to twist field correlation functions not obtained in previous calculations. Our results show that the theory is target space duality invariant.