The local, covariant, continuous, anticommuting and nilpotent Becchi-RouetStora-Tyutin (BRST) and anti-BRST symmetry transformations for all the fields of a (0 + 1)-dimensional spinning relativistic particle are obtained in the framework of augmented superfield approach to BRST formalism. The trajectory of this super-particle, parametrized by a monotonically increasing evolution parameter τ , i...

We describe the ghost sector of cubic string field theory in terms of degrees of freedom on the two halves of a split string. In particular, we represent a class of pure ghost BRST operators as operators on the space of half-string functionals. These BRST operators were postulated by Rastelli, Sen, and Zwiebach to give a description of cubic string field theory in the closed string vacuum arisi...

We carry out the Becchi-Rouet-Stora-Tyutin (BRST) quantization of one (0 + 1)-dimensional (1D) model a free massive spinning relativistic particle (i.e. supersymmetric system) by exploiting its classical infinitesimal and continuous reparameterization symmetry transformations. use modified Bonora-Tonin (BT) supervariable approach (MBTSA) to BRST formalism obtain nilpotent (anti-)BRST transforma...

We study the star algebra of ghost sector in vacuum string field theory (VSFT). We show that the star product of two states in the Siegel gauge is BRST exact if we take the BRST charge to be the one found in [1], and the BRST exact states are nil factors in the star algebra. By introducing a new star product defined on the states in the Siegel gauge, the equation of motion of VSFT is characteri...

Gauge theories that have been first quantized using the Hamiltonian BRST operator formalism are described as classical Hamiltonian BRST systems with a BRST charge of the form 〈Ψ, Ω̂Ψ〉even and with natural ghost and parity degrees for all fields. The associated proper solution of the classical Batalin-Vilkovisky master equation is constructed from first principles. Both of these formulations can ...