Gauge Symmetries of the Master Action
M A Grigoriev, A M Semikhatov, and I Yu Tipunin
TL;DR
This paper explores the geometric structure of the Batalin--Vilkovisky (BV) theory, revealing that gauge symmetries correspond to symmetries of an even symplectic structure on the stationary surface of the master action.
Contribution
It establishes a geometric interpretation of gauge symmetries in BV theory as symmetries of an even symplectic structure on the stationary surface.
Findings
Gauge symmetries correspond to symmetries of an even symplectic structure.
The geometry of the BV theory is characterized by an antisymplectic manifold.
The stationary surface plays a central role in understanding gauge symmetries.
Abstract
We study the geometry of the Lagrangian Batalin--Vilkovisky theory on an antisymplectic manifold. We show that gauge symmetries of the BV-theory are essentially the symmetries of an even symplectic structure on the stationary surface of the master action.
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