Elliptic genera of 2d N=2 gauge theories

Understand

We compute the elliptic genera of general two-dimensional N=(2,2) and 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 arXiv:1305.0533.