期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 3, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP03(2014)040
关键词
Topological Field Theories; Supergravity Models; Field Theories in Lower Dimensions
资金
- ERC STG grant [335182]
- Israel Science Foundation [884/11, 1937/12]
- United States-Israel Binational Science Foundation (BSF) [2010/629]
- I-CORE Program of the Planning and Budgeting Committee
- ERC STG grant [335182]
- Israel Science Foundation [884/11, 1937/12]
- United States-Israel Binational Science Foundation (BSF) [2010/629]
- I-CORE Program of the Planning and Budgeting Committee
We compute the supersymmetric partition function of an N = 1 chiral multiplet coupled to an external Abelian gauge field on complex manifolds with T-2 x S-2 topology. The result is locally holomorphic in the complex structure moduli of T-2 x S-2. This computation illustrates in a simple example some recently obtained constraints on the parameter dependence of supersymmetric partition functions. We also devise a simple method to compute the chiral multiplet partition function on any four-manifold M-4 preserving two supercharges of opposite chiralities, via supersymmetric localization. In the case of M-4 = S-3 x S-1, we provide a path integral derivation of the previously known result, the elliptic gamma function, which emphasizes its dependence on the S-3 x S-1 complex structure moduli.
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