Elliptic Genera of 2d = 2 Gauge Theories
Communications in Mathematical Physics, 2015•Springer
We compute the elliptic genera of general two-dimensional N=(2, 2) N=(2, 2) and N=(0, 2)
N=(0, 2) 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 …
N=(0, 2) 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 …
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).
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