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arXiv · 1308.4896

Elliptic genera of 2d N=2 gauge theories

Francesco Benini·Richard Eager·Kentaro Hori·Yuji Tachikawa
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Abstract

We compute the elliptic genera of general two-dimensional N=(2,2) and N=(0,2) 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 arXiv:1305.0533.

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Francesco Benini, Richard Eager, Kentaro Hori, Yuji Tachikawa. 2013-09-09. Elliptic genera of 2d N=2 gauge theories. https://doi.org/10.1007/s00220-014-2210-y

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