Alexey Sharapov

Variational tricomplex of a local gauge system

I shall present the concept of a variational tricomplex that can be defined for any gauge system. The variational tricomplex provides an efficient tool for describing such notions as global symmetries, conservation laws, and the Lagrange structures associated with gauge dynamics. It also allows us to establish a direct relationship between the BV and BFV-BRST formalisms as well as their non-Lagrangian and non-Hamiltonian counterparts. In pure algebraic terms, one can regard this relationship as that between the $S_\infty$- and $P_\infty$-algebras underlying the gauge dynamics