In the Batalin–Vilkovisky formalism, gauge conditions are expressed as Lagrangian submanifolds in space of fields and antifields. We discuss a way patching together over different parts fields, apply this method to extend light-cone for superparticle conic neighbourhood forward momentum space.

In this paper the SU(2) Skyrme model is reformulated as a gauge theory. It is done following two different approaches: the unfixing Hamiltonian gauge formalism and a new scheme of gauge Lagrangian reformulation. In the former, the reduced Skyrme model is expressed as a gauge theory without Wess-Zumino(WZ) variables. In the later, it is achieved by using the Faddeev-Jackiw Lagrangian method with...

We use the method due to Batalin, Fradkin and Tyutin (BFT) for the quantization of chiral boson theories. We consider the Floreanini-Jackiw (FJ) formulation as well as others with linear constraints. PACS: 03.70+k, 11.10.Ef, 11.30.Rd (∗) Electronic mail: ift01001@ufrj (†) Electronic mail: ift03001@ufrj and [email protected] 1

We perform the Batalin-Vilkovisky quantization of Yang–Mills theory on a 2-point space, discussing the formulation of Connes–Lott as well as Connes’ real spectral triple approach. Despite of the model’s apparent simplicity the gauge structure reveals infinite reducibility and the gauge fixing is afflicted with the Gribov problem. 1

We show that the Kähler structure can be naturally incorporated in the Batalin-Vilkovisky formalism. The phase space of the BV formalism becomes a fermionic Kähler manifold. By introducing an isometry we explicitly construct the fermionic irreducible hermitian symmetric space. We then give some solutions of the master equation in the BV formalism.

We give a conceptual formulation of Kontsevich’s ‘dual construction’ producing graph cohomology classes from a differential graded Frobenius algebra with an odd scalar product. Our construction – whilst equivalent to the original one – is combinatorics-free and is based on the Batalin-Vilkovisky formalism, from which its gauge-independence is immediate.

The canonical quantization of dynamical systems with curved phase space introduced by I.A. Batalin, E.S. Fradkin and T.E. Fradkina is applied to the four– dimensional Einstein–Maxwell Dilaton–Axion theory. The spherically symmetric case with radial fields is considered. The Lagrangian density of the theory in the Einstein frame is written as an expression with first order in time derivatives of...

We propose a Batalin-Vilkovisky (BV) formulation of boundary superstring field theory. The superstring field action is defined in terms of a closed one-form in the space of couplings, and we compute it explicitly for exactly solvable tachyon perturbations. We also argue that the superstring field action defined in this way is the partition function on the disc, in accord with a previous proposal.

It is shown, that the geometrical objects of Batalin-Vilkovisky formalism– odd symplectic structure and nilpotent operator ∆ can be naturally uncorporated in Duistermaat–Heckman localization procedure. The presence of the supersymmetric bi-Hamiltonian dynamics with even and odd symplectic structure in this procedure is established. These constructions can be straightly generalized for the path-...