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Vertex Algebras and Costello-Gwilliam Factorization Algebras
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Vertex algebras and factorization algebras are two approaches to chiral conformal field theory. Costello and Gwilliam describe how every holomorphic factorization algebra on the plane of complex numbers satisfying certain assumptions gives rise to a Z-graded vertex algebra. They construct some models of chiral conformal theory as factorization algebras. We attach a factorization algebra to every Z-graded vertex algebra.
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BV construction of SUSY vertex algebras from SUSY factorization algebras
Constructs SUSY vertex algebras via a SUSY analogue of the Costello-Gwilliam extraction theorem and identifies the output for the holomorphic sigma model with the chiral de Rham complex, plus N=2/N=4 enhancements for ...
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