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

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

1998-12-22

arxiv.org/abs/hep-th/9812207v1

Nucl.Phys. B548 (1999) 563-584

Physics

High Energy Physics

High Energy Physics - Theory

latex, 20 pages, no figures

Scientific paper

10.1016/S0550-3213(99)00157-1

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.

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