$T$对偶性,Jacobi形式和Witten-Gerbe模

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL Advances in Theoretical and Mathematical Physics Pub Date : 2020-01-02 DOI:10.4310/ATMP.2021.v25.n5.a3
F. Han, V. Mathai
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引用次数: 2

摘要

本文将[arXiv:hep-th/0306062]中的t -对偶Hori映射推广到t -对偶圆束上的扭曲上同构,并证明了它们在t -对偶圆束上诱导了双变量扭曲上同构,保持了Jacobi形式性质。梯度Hori映射与其对偶的组合等于欧拉算子。我们还构造了由gerbe模产生的Witten gerbe模,并证明了在gerbe模的异常消失条件下,它们的梯度扭曲chen字符是Jacobi形式,从而给出了有趣的例子。
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$T$-duality, Jacobi forms and Witten–Gerbe modules
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.
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来源期刊
Advances in Theoretical and Mathematical Physics
Advances in Theoretical and Mathematical Physics 物理-物理:粒子与场物理
CiteScore
2.20
自引率
6.70%
发文量
0
审稿时长
>12 weeks
期刊介绍: Advances in Theoretical and Mathematical Physics is a bimonthly publication of the International Press, publishing papers on all areas in which theoretical physics and mathematics interact with each other.
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