O(d,d,Z) Transformations as Automorphisms of the Operator Algebra

TL;DR

This paper demonstrates how O(d,d,Z) T-duality transformations can be realized as automorphisms of operator algebras in conformal field theories, extending their applicability to various field configurations.

Contribution

It introduces a novel implementation of O(d,d,Z) transformations as automorphisms, broadening their scope within conformal field theory operator algebras.

Findings

O(d,d,Z) transformations act as automorphisms of operator algebras

Extension of T-duality transformations to arbitrary field configurations

Framework applicable to a wide class of conformal field theories

Abstract

We implement the O(d,d,Z) transformations of T-duality as automorphisms of the operator algebras of Conformal Field Theories. This extends these transformations to arbitrary field configurations in the deformation class.