Twistfield Perturbations of Vertex Operators in the Z_2-Orbifold Model

TL;DR

This paper explores how twistfield deformations in Z_2 orbifold models of K3 moduli space affect conformal field theories, providing calculations of vertex operator dimensions beyond the orbifold point.

Contribution

It applies Kadanoff's marginal deformation theory to twistfield deformations, advancing understanding of non-orbifold conformal field theories.

Findings

Deformation of conformal dimensions for p^2<1 calculated in second order perturbation

Deformations extend the moduli space beyond the Z_2 orbifold subspace

Provides insights into non-orbifold conformal field theories

Abstract

We apply Kadanoff's theory of marginal deformations of conformal field theories to twistfield deformations of Z_2 orbifold models in K3 moduli space. These deformations lead away from the Z_2 orbifold sub-moduli-space and hence help to explore conformal field theories which have not yet been understood. In particular, we calculate the deformation of the conformal dimensions of vertex operators for p^2<1 in second order perturbation theory.