DGLA Dg and BV formalism

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Differrential Graded Lie Algebra Dg was previously introduced in the context of current algebras. We show that under some conditions, the problem of constructing equivariantly closed form from closed invariant form is reduces to construction of a representation of Dg. This includes equivariant BV formalism. In particular, an analogue of intertwiner between Weil and Cartan models allows to clarify the general relation between integrated and unintegrated operators in string worldsheet theory.

Introduction
Notations


Ansatz for equivariant form

Chevalley-Eilenberg complex of a differential module
Integration measures from representations of and
BV
Equivariant BV formalism
Integrating unintegrated vertices
Use of “extended” BV phase space
Nilpotence of
Bibliography