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

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.

27 pages, 1 figure; minor modifications to sec. 2.2 and 4.6

References in corpus (4)

• Elliptic genera of 2d N=2 gauge theories
• Exact two-dimensional superconformal R-symmetry and c-extremization
• Supersymmetric gauge theory and the Yangian
• Partition Functions, Localization, and the Chiral de Rham complex

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