Dilaton transformation under abelian and non-abelian T-duality in the path integral approach
High Energy Physics - Theory
2009-10-31 v1
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.
Keywords
Cite
@article{arxiv.hep-th/9812207,
title = {Dilaton transformation under abelian and non-abelian T-duality in the path integral approach},
author = {J. De Jaegher and J. Raeymaekers and A. Sevrin and W. Troost},
journal= {arXiv preprint arXiv:hep-th/9812207},
year = {2009}
}
Comments
latex, 20 pages, no figures