Calculus structure on the Lie conformal algebra complex and the variational complex

Abstract

We construct a calculus structure on the Lie conformal algebra cochain complex. By restricting to degree one chains, we recover the structure of a g-complex introduced in [DSK]. A special case of this construction is the variational calculus, for which we provide explicit formulas.

42 pages

References in corpus (1)

• Formality of the homotopy calculus algebra of Hochschild (co)chains

Cited by in corpus (4)

• The variational Poisson cohomology
• T-duality of current algebras and their quantization
• Semi-conformal structure on certain vertex superalgebras associated to vertex superalgebroids
• Multisymplectic observable reduction using constraint triples