T-Duality and Conformal Invariance at Two Loops

TL;DR

This paper demonstrates that the conditions for conformal invariance in a general sigma-model with torsion remain unchanged under T-duality transformations up to two loops, highlighting a deep symmetry in string theory.

Contribution

It establishes the invariance of conformal invariance conditions under T-duality at two-loop order for sigma-models with torsion, extending previous one-loop results.

Findings

Conformal invariance conditions are T-duality invariant up to two loops.

T-duality preserves the structure of sigma-models with torsion at higher loops.

The results deepen understanding of symmetries in string theory.

Abstract

We show that the conformal invariance conditions for a general sigma-model with torsion are invariant under T-duality through two loops.