Dilaton transformation under abelian and non-abelian T-duality in the path integral approach

Abstract

We present a convenient method for deriving the transformation of the dilaton under T-duality in the path-integral approach. Subtleties arising in performing the integral over the gauge fields are carefully analysed using Pauli-Villars regularization, thereby clarifying existing ambiguities in the literature. The formalism can not only be applied to the abelian case, but, and this for the first time, to the non-abelian case as well. Furthermore, by choosing a particular gauge, we directly obtain the target-space covariant expression for the dual geometry in the abelian case. Finally it is shown that the conditions for gauging non-abelian isometries are weaker than those generally found in the literature.

latex, 20 pages, no figures

References in corpus (2)

• Duality and Dilaton
• On Quantum T-duality in sigma models

Cited by in corpus (7)

• Integrable 2d sigma models: quantum corrections to geometry from RG flow
• T-duality in Ramond-Ramond backgrounds
• High spin limits and non-abelian T-duality
• Black holes and branes in string theory
• Poisson-Lie Duality in the String Effective Action
• Aspects of Quantum Fermionic T-duality
• Non-Abelian Duality in the String Effective Action