Abstract
We compute the elliptic genera of general two-dimensional \({\mathcal{N} = (2, 2)}\) and \({\mathcal{N} = (0, 2)}\) 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 (Benini et al., Lett Math Phys 104:465–493, 2014).
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Communicated by N. A. Nekrasov
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Benini, F., Eager, R., Hori, K. et al. Elliptic Genera of 2d \({\mathcal{N}}\) = 2 Gauge Theories. Commun. Math. Phys. 333, 1241–1286 (2015). https://doi.org/10.1007/s00220-014-2210-y
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DOI: https://doi.org/10.1007/s00220-014-2210-y