Does the nontrivially deformed field-antifield formalism exist?

Abstract

We reformulate the Lagrange deformed field-antifield BV -formalism suggested, in terms of the general Euler vector field $N$ generated by the antisymplectic potential. That $N$ generalizes, in a natural anticanonically-invariant manner, the usual power-counting operator. We provide for the "usual" gauge-fixing mechanism as applied to the deformed BV -formalism.

29 pages, no figures, v2: minor changes in Sec.7, v3: typos corrected, v4: corrections in (B.9), (B.12), (B.13), published version, v5: Section 4 extended, v6: Section 5 extended

References in corpus (4)

• Non-Commutative Batalin-Vilkovisky Algebras, Homotopy Lie Algebras and the Courant Bracket
• Odd Scalar Curvature in Field-Antifield Formalism
• Path Integral Formulation with Deformed Antibracket
• The deformations of antibracket with even and odd deformation parameters

Cited by in corpus (2)

• Closed description of arbitrariness in resolving quantum master equation
• Extended sigma-model in nontrivially deformed field-antifield formalism