The Batalin-Vilkovisky formalism with the Virasoro symmetry
Abstract
We introduce the Virasoro symmetry in the BV formalism and give an explicit construction of the anti-bracket, which is Virasoro invariant. It is shown that the master equation with this anti-bracket has an infinite number of solutions. The base space of the BV formalism is a fermionic version of the Virasoro manifold Diff(S1)/S1. We discuss also the Ricci tensor of this fermionic manifold.
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