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. © 2013 Springer Science+Business Media Dordrecht.

Elliptic genera of two-dimensional N=2 gauge theories with rank-one gauge groups / Benini, Francesco; Eager, R.; Hori, K.; Tachikawa, Y.. - In: LETTERS IN MATHEMATICAL PHYSICS. - ISSN 0377-9017. - 104:4(2014), pp. 465-493. [10.1007/s11005-013-0673-y]

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

Benini, Francesco;
2014-01-01

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. © 2013 Springer Science+Business Media Dordrecht.
2014
104
4
465
493
https://arxiv.org/abs/1312.7293
https://link.springer.com/article/10.1007%2Fs11005-013-0673-y
Benini, Francesco; Eager, R.; Hori, K.; Tachikawa, Y.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/33164
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