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Type: Journal article
Title: T-duality, Jacobi forms and witten gerbe modules
Author: Han, F.
Mathai, V.
Citation: Advances in Theoretical and Mathematical Physics, 2021; 25(5)
Publisher: International Press
Issue Date: 2021
ISSN: 1095-0761
Statement of
Fei Han and Varghese Mathai
Abstract: In this paper, we extend the T-duality Hori maps in [arXiv:hep-th/0306062], inducing isomorphisms of twisted cohomologies on T-dual circle bundles, to graded Hori maps and show that they induce isomorphisms of two-variable series of twisted cohomologies on the T-dual circle bundles, preserving Jacobi form properties. The composition of the graded Hori map with its dual equals the Euler operator. We also construct Witten gerbe modules arising from gerbe modules and show that their graded twisted Chern characters are Jacobi forms under an anomaly vanishing condition on gerbe modules, thereby giving interesting examples.
Keywords: T-duality; gerbe modules; graded Hori formula; Jacobi forms; Witten gerbe modules; graded twisted Chern character
Description: OnlinePubl Published 01 Feb 2021 (Volume 25?)
Rights: Copyright status unknown
DOI: 10.4310/ATMP.2021.v25.n5.a1
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Mathematical Sciences publications

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