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arxiv: 1305.0533 · v2 · pith:LTATKC76new · submitted 2013-05-02 · ✦ hep-th · math.AG

Elliptic genera of two-dimensional N=2 gauge theories with rank-one gauge groups

Francesco Benini , Richard Eager , Kentaro Hori , Yuji Tachikawa This is my paper
classification ✦ hep-th math.AG
keywords gaugeellipticgeneragroupsrank-onetheoriestwo-dimensionalalong
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We compute the elliptic genera of two-dimensional N=(2,2) and N=(0,2) gauged linear sigma models via supersymmetric localization, for rank-one gauge groups. The elliptic genus is expressed as a sum over residues of a meromorphic function whose argument is the holonomy of the gauge field along both the spatial and the temporal directions of the torus. We illustrate our formulas by a few examples including the quintic Calabi-Yau, N=(2,2) SU(2) and O(2) gauge theories coupled to N fundamental chiral multiplets, and a geometric N=(0,2) model.

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