The Batalin Vilkovisky (BV) quantization provides a general procedure for calculating anomalies associated to gauge symmetries. Recent results show that even higher loop order contributions can be calculated by introducing an appropriate regularization-renormalization scheme. However, in its standard form, the BV quantization is not sensible to quantum violations of the classical conservation o...

This note describes the functional-integral quantization of two-dimensional topological field theories together with applications to problems in deformation quantization of Poisson manifolds and reduction of certain submanifolds. A brief introduction to smooth graded manifolds and to the Batalin–Vilkovisky formalism is included. Mathematics Subject Classification (2000). Primary 81T45; Secondar...

Let M and N be Lagrangian submanifolds of a complex symplectic manifold S. We construct a Gerstenhaber algebra structure on TorS ∗ (OM ,ON ) and a compatible Batalin-Vilkovisky module structure on ExtOS (OM ,ON ). This gives rise to a de Rham type cohomology theory for Lagrangian intersections.

The procedure for Abelian conversion of second class constraints due to Batalin, Fradkin, Fradkina and Tyutin is considered at quantum level, by using the fieldantifield formalism. It is argued that quantum effects can obstruct the process. In this case, Wess-Zumino fields may be introduced in order to restore the lost symmetries. PACS: 03.70.+k, 11.10.Ef, 11.15.-q [email protected] [email protected]...

In a two-dimensional AdS space, dynamical boundary of space was described by one-dimensional quantum-mechanical Hamiltonian with coupling between the bulk and system. this paper, we present Lagrangian corresponding to through Legendre transformation constraint. Dirac's constraint analysis, find two primary constraints without secondary constraints; however, they are fully second-class. order ma...