We compute the elliptic genera of general two-dimensional and 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).
Elliptic genera of 2d N=2 gauge theories / Benini, F.; Eager, R.; Hori, K.; Tachikawa, Y.. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - 333:(2015), pp. 1241-1286. [10.1007/s00220-014-2210-y]
Elliptic genera of 2d N=2 gauge theories
Benini, F.
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2015-01-01
Abstract
We compute the elliptic genera of general two-dimensional and 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).| File | Dimensione | Formato | |
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