%0 Journal Article
%T Chiral De Rham complex over locally complete intersections
%A Fyodor Malikov
%A Vadim Schechtman
%J Mathematics
%D 2014
%I arXiv
%X 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.
%U http://arxiv.org/abs/1406.0284v1