规范线性西格玛模型中ALE和ALF流形的椭圆亏格
Elliptic genera of ALE and ALF manifolds from gauged linear sigma models
摘要：
利用规范线性西格玛模型中的局部化方法计算了几类ALE和ALF流形的等变椭圆亏格。在西格玛模型计算中，等变作用量对应于U（1）电流的化学势，并且椭圆母线呈现出有趣的极点结构作为化学势的函数。我们用它来分解的答案成极项，表现出跨壁和通用条款。我们比较了我们的结果与以前的结果的大半径极限的Taub-NUT椭圆亏格，并讨论了我们的结果的应用程序计数的BPS世界片谱的5d N=2的超杨-米尔斯理论中的弦和自对偶弦的6d N=（2，0）理论。
英文摘要：
We compute the equivariant elliptic genera of several classes of ALE and ALF manifolds using localization in gauged linear sigma models. In the sigma model computation the equivariant action corresponds to chemical potentials for U(1) currents and the elliptic genera exhibit interesting pole structure as a function of the chemical potentials. We use this to decompose the answers into polar terms that exhibit wall crossing and universal terms. We compare our results to previous results on the large radius limit of the Taub-NUT elliptic genus and also discuss applications of our results to counting of BPS world-sheet spectrum of monopole strings in the 5d N=2 super Yang-Mills theory and self-dual strings in the 6d N=(2,0) theories.
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