Gauge symmetries of the master action in the Batalin–Vilkovisky formalism

“…[12,13,14]). It would also be interesting to consider the isomorphism between the Poisson bracket and the antibracket [15] in the light of this superfield construction.…”

Section: Geometry Of the Super Path Spacementioning

confidence: 99%

Superfield BRST charge and the master action

Grigoriev

Damgaard²

2000

Physics Letters B

View full text Add to dashboard Cite

Abstract. Using a superfield formulation of extended phase space, we propose a new form of the Hamiltonian action functional. A remarkable feature of this construction is that it directly leads to the BV master action on phase space. Conversely, superspace can be used to construct nilpotent BRST charges directly from solutions to the classical Lagrangian Master Equation. We comment on the relation between these constructions and the specific master action proposal of Alexandrov, Kontsevich, Schwarz and Zaboronsky.

show abstract

“…Let (M, Q) be a Q-manifold, ξ be a degree −1 vector field on M. An infinitesimal gauge symmetry generated by ξ is the degree zero vector field δ ξ = [ξ, Q] = ξ Q + Qξ (cf. [63] and also [64] in the Lagrangian case. ).…”

Section: More Precisely Let U Be An Open Subset Of With Local Coordimentioning

confidence: 98%

“…An infinitesimal gauge symmetry generated by ξ is the degree zero vector field

δ_{ξ} = false[ξ, Q false] = ξ Q + Q ξ

(cf. [] and also [] in the Lagrangian case. ).…”

Section: Preliminariesmentioning

confidence: 99%

Gauge PDE and AKSZ‐type Sigma Models

Grigoriev

Kotov

2019

Fortschritte der Physik

View full text Add to dashboard Cite

A gauge PDE is a natural notion which arises by abstracting what physicists call a local gauge field theory defined in terms of BV‐BRST differential (not necessarily Lagrangian). We study supergeometry of gauge PDEs paying particular attention to globally well‐defined definitions and equivalences of such objects. We demonstrate that a natural geometrical language to work with gauge PDEs is that of Q‐bundles. In particular, we demonstrate that any gauge PDE can be embedded into a super‐jet bundle of the Q‐bundle. This gives a globally well‐defined version of the so‐called parent formulation. In the case of reparameterization‐invariant systems, the parent formulation takes the form of an AKSZ‐type sigma model with an infinite‐dimensional target space.

show abstract

Gauge symmetries of the master action in the Batalin–Vilkovisky formalism

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.

Cited by 9 publications

References 23 publications

Asymptotically locally flat spacetimes and dynamical nonspherically-symmetric black holes in three dimensions

Asymptotically locally flat spacetimes and dynamical nonspherically-symmetric black holes in three dimensions

Superfield BRST charge and the master action

Gauge PDE and AKSZ‐type Sigma Models

Contact Info

Product

Resources

About