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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) 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
86/2002

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

Abstract

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.

Contact the author per mail Download full preprint 217 KB
Received:
16.09.02
Published:
16.09.02
PACS:
02.40.-k, 04.62.+v, 11.15.-q
Keywords:
dualities, dilaton, heat trace asymptotics

Related publications

inJournal
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
BibTex DOI: 10.1016/S0550-3213(02)00975-6