期刊
COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 333, 期 3, 页码 1241-1286出版社
SPRINGER
DOI: 10.1007/s00220-014-2210-y
关键词
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资金
- NSF [1066293]
- DOE [DE-FG02-92ER-40697]
- JSPS [21340109, 25870159]
- WPI Initiative, MEXT, Japan at IPMU, the University of Tokyo
- NSF [1066293]
- DOE [DE-FG02-92ER-40697]
- JSPS [21340109, 25870159]
- WPI Initiative, MEXT, Japan at IPMU, the University of Tokyo
- Grants-in-Aid for Scientific Research [21340109] Funding Source: KAKEN
We compute the elliptic genera of general two-dimensional and gauge theories. We find that the elliptic genus is given by the sum of Jeffrey-Kirwan residues of a meromorphic form, representing the one-loop determinant of fields, on the moduli space of flat connections on T (2). We give several examples illustrating our formula, with both Abelian and non-Abelian gauge groups, and discuss some dualities for U(k) and SU(k) theories. This paper is a sequel to the authors' previous paper (Benini et al., Lett Math Phys 104:465-493, 2014).
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