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arXiv 1002.0028hep-thmath.ATmath.DG
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消失手征代数与Höhn-Stolz猜想

Vanishing Chiral Algebras and Höhn-Stolz Conjecture

Junya Yagi

摘要:

给定一个具有(0,2)超对称性的二维量子场论,可以构造一个手征(或顶点)代数。(0,2)超对称西格玛模型的手征代数在微扰下是弦凯勒流形上手征微分算子层的上同调。然而,当考虑瞬子时,它在某些情况下消失。我将讨论这一现象对关于威滕亏格的Höhn-Stolz猜想的影响。

英文摘要:

Given a two-dimensional quantum field theory with (0,2) supersymmetry, one can construct a chiral (or vertex) algebra. The chiral algebra of a (0,2) supersymmetric sigma model is, perturbatively, the cohomology of a sheaf of chiral differential operators on a string Kähler manifold. However, it vanishes in some cases when instantons are taken into account. I will discuss the implication of this phenomenon for the Höhn-Stolz conjecture on the Witten genus.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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