Abelian duality in WZW models

TL;DR

This paper investigates abelian T-duality in WZW models, showing the dual theory as an orbifold, confirming conformal invariance, and matching spectra between original and dual models.

Contribution

It demonstrates that the dual of a WZW model under abelian T-duality is an orbifold and verifies spectral equivalence and conformal invariance.

Findings

Dual theory is an orbifold of the original

Spectra of original and dual theories match

Dual theory maintains conformal invariance

Abstract

We analyse abelian T-duality for WZW models of simply-connected groups. We demonstrate that the dual theory is a certain orbifold of the original theory, and check that it is conformally invariant. We determine the spectrum of the dual theory, and show that it agrees with the spectrum of the original theory.