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arXiv · 1305.0533

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

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

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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Francesco Benini, Richard Eager, Kentaro Hori, Yuji Tachikawa. 2013-08-23. Elliptic genera of two-dimensional N=2 gauge theories with rank-one gauge groups. https://doi.org/10.1007/s11005-013-0673-y

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