The Batalin-Vilkovisky data for Polyakov string theory on a manifold with (non-null) boundary is shown to induce compatible Batalin--Fradkin--Vilkovisky data, thus allowing BV-quantisation manifolds boundary. On the other hand, analogous formulation of Nambu--Goto fails satisfy needed regularity requirements. As byproduct, concise description given reduced phase spaces both models and their rel...

The physical phase space of the relativistic top, as defined by Hanson and Regge, is expressed in terms of canonical coordinates of the Poincaré group manifold. The system is described in the Hamiltonian formalism by the mass shell condition and constraints that reduce the number of spin degrees of freedom. The constraints are second class and are modified into a set of first class constraints ...

A new ‘harmonic’ BRST method is presented for quantizing those dynamical systems having second-class constraints which split into holomorphic and antiholomorphic algebras. These theories include those whose phase spaces are coadjoint orbits of a compact semisimple Lie group. The method also applies to theories with holomorphic first-class constraints which have nonvanishing brackets with their ...

We convert the second class Proca model into a first class theory by using the generalised prescription of Batalin, Fradkin and Tyutin. We then show how a basic set of gauge invariant fields in the embedded model can be identified with the fundamental fields in the proca model as well as with the observables in the Stückelberg model or in the model involving the interaction of an abelian 2-form...

The embedding procedure of Batalin, Fradkin, and Tyutin, which allows to convert a second-class system into a first-class one, is employed to convert second-class interacting models. Two cases are considered. One, is the SelfDual model minimally coupled to a Dirac fermion field. The other, the SelfDual model minimally coupled to a charged scalar field. In both cases, they are found equivalent i...

The BRST quantization of particle motion on the hypersurface $V_{(N-1)}$ embedded in Euclidean space $R_N$ is carried out both Hamiltonian and Lagrangian formalism. Using Batalin-Fradkin-Fradkina-Tyutin (BFFT) formalism, second class constrained obtained using analysis are converted into first constraints. Then BFV symmetry constructed. We have given a simple example these kind system. In end w...

A bstract We construct a range of supersymmetric cubic vertices for three massless higher spin supermultiplets in the four-dimensional space. use frame-like multispinor formalism, which allows to avoid most technical difficulties and provides uniform description bosons fermions. Our work is based on so-called Fradkin-Vasiliev formalism construction vertices, requires non-zero cosmological const...