Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/130028
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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):1235-1266 |
Publisher: | International Press |
Issue Date: | 2021 |
ISSN: | 1095-0761 1095-0753 |
Statement of Responsibility: | Fei Han and Varghese Mathai |
Abstract: | In this paper, we extend the T-duality Hori maps in [3], inducing isomorphisms of twisted cohomologies on T-dual circle bundles, to graded Hori maps and show that they induce isomorphisms of twovariable series of twisted cohomologies on the T-dual circle bundles, preserving Jacobi form properties. The composition of the graded Hori map with its dual is equal to 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: | Published 17 June 2022 |
Rights: | Copyright: Author has the option to retain copyright of his or her paper. |
DOI: | 10.4310/ATMP.2021.v25.n5.a3 |
Grant ID: | http://purl.org/au-research/grants/arc/FL170100020 |
Published version: | https://www.intlpress.com/site/pub/pages/journals/items/atmp/_home/_main/index.php |
Appears in Collections: | Aurora harvest 4 Mathematical Sciences publications |
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hdl_130028.pdf | Published version | 355.03 kB | Adobe PDF | View/Open |
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