期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 12, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP12(2019)147
关键词
Supersymmetric Gauge Theory; Boundary Quantum Field Theory; Differential and Algebraic Geometry
资金
- Swiss National Science foundation
- NCCR SwissMAP - Swiss National Science foundation
- Knut and Alice Wallenberg foundation
- German Research Foundation (DFG)
- Vetenskapsradet [2014-5517]
- STINT grant
- ERC STG Grant [639220]
We consider 4d N = 1 gauge theories with R-symmetry on a hemisphere times a torus. We apply localization techniques to evaluate the exact partition function through a cohomological reformulation of the supersymmetry transformations. Our results represent the natural elliptic lifts of the lower dimensional analogs as well as a field theoretic derivation of the conjectured 4d holomorphic blocks, from which partition functions of compact spaces with diverse topology can be recovered through gluing. We also analyze the different boundary conditions which can naturally be imposed on the chiral multiplets, which turn out to be either Dirichlet or Robin-like. We show that different boundary conditions are related to each other by coupling the bulk to 3d N = 1 degrees of freedom on the boundary three-torus, for which we derive explicit 1-loop determinants.
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