Elliptic Genera of 2d N=2 Gauge Theories
Elliptic Genera of 2d N=2 Gauge Theories
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DOI：
10.1007/s00220-014-2210-y
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发表时间：
2015-02-01
影响因子：
2.4
通讯作者：
Tachikawa, Yuji
中科院分区：
文献类型：
--
作者：
Benini, Francesco;Eager, Richard;Tachikawa, Yuji
我们计算了一般的二维和规范理论的椭圆亏格。我们发现椭圆亏格是由T(2)上平坦连通模空间上的亚纯形式的Jeffrey-Kirwan余项之和给出的，亚纯形式表示域的单圈行列式。我们给出了几个例子来说明我们的公式，包括阿贝尔规范群和非阿贝尔规范群，并讨论了U(K)和SU(K)理论的一些对偶性。这篇论文是作者先前论文(Benini等人，Lett Math Phys 104：465-493,2014)的续篇。
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).