Super Chern-Simons Theory: BV-formalism and $A_{\infty }$-algebras

Abstract

This is a companion paper of a long work appeared in [1] discussing the super-Chern-Simons theory on supermanifolds. Here, it is emphasized that the BV formalism is naturally formulated using integral forms for any supersymmetric and supergravity models and we show how to deal with $A_{\infty }$-algebras emerging from supermanifold structures.

25 pp. No figures, Latex2e