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arXiv · 1406.0284

Chiral De Rham complex over locally complete intersections

Fyodor Malikov·Vadim Schechtman
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Abstract

We define a version of a derived chiral De Rham complex over a locally complete intersection, thereby "chiralizing" a result by Illusie and Bhatt. A similar construction attaches to a graded ring a dg vertex algebra, which we prove to be Morita equivalent to a dg algebra of differential operators. For example, the dg vertex algebra associated to a fat point, which also arises in the Landau-Ginzburg model, is shown to be derived rational.

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Fyodor Malikov, Vadim Schechtman. 2014-06-02. Chiral De Rham complex over locally complete intersections. https://arxiv.org/abs/1406.0284

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