The Cohomology of Algebras over Moduli Spaces

Details The Cohomology of Algebras over Moduli Spaces The Cohomology of Algebras over Moduli Spaces

1994-10-15

arxiv.org/abs/hep-th/9410108v2

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, including figures (A few inaccuracies corrected, the reference list expanded)

Scientific paper

The purpose of this paper is to introduce the cohomology of various algebras
over an operad of moduli spaces including the cohomology of conformal field
theories (CFT's) and vertex operator algebras (VOA's). This cohomology theory
produces a number of invariants of CFT's and VOA's, one of which is the space
of their infinitesimal deformations.

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