MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Duality symmetry of the $p$-form effective action and super trace of the twisted de Rham complex

Peter B. Gilkey, Klaus Kirsten, Dmitri Vassilevich and Andrei Zelnikov


We consider quantum $p$-form fields interacting with a background dilaton. We calculate the variation with respect to the dilaton of a difference of the effective actions in the models related by a duality transformation. We show that this variation is defined essentially by the supertrace of the twisted de Rham complex. The supertrace is then evaluated on a manifold of an arbitrary dimension, with or without boundary.

02.40.-k, 04.62.+v, 11.15.-q
dualities, dilaton, heat trace asymptotics

Related publications

2003 Repository Open Access
Peter B. Gilkey, Klaus Kirsten, Dmitri V. Vassilevich and A. Zelnikov

Duality symmetry of the p-form effective action and supertrace of the twisted de Rham complex

In: Nuclear physics / B, 648 (2003) 3, pp. 542-556