The complete structure of the WG2 algebra is obtained from an explicit realization by an abstract Virasoro algebra and a free boson field. We then construct its BRST operator and find a seven-parameter family of nilpotent BRST operators. These free parameters are related to the canonical transformations of the ghost, antighost fields which leave the total stress-energy tensor and the antighost ...

The BRST transformations for gravity with torsion including Weyl symmetry are discussed by using the so-called Maurer-Cartan horizontality conditions. Also the coupling of scalar matter fields to gravity is incorporated in this analysis. With the help of an operator δ which allows to decompose the exterior space-time derivative as a BRST commutator we solve the Wess-Zumino consistency condition...

The immunoperoxidase staining of 84 primary invasive breast carcinomas with four monoclonal antibodies (BRST-1, HMFG1, EMA, B72.3) was evaluated by semiquantitative light microscopical examination and quantitative image analysis. Major differences in the staining of the tumours for each of the monoclonal antibodies was observed. Correlation between monoclonal antibody staining and patient age, ...

The connection between four different approaches to quantization of the relativistic particle is studied: reduced phase space quantization, Dirac quantization, BRST quantization, and (BRST)-Fock quantization are each carried out. The connection to the BFV path integral in phase space is provided. In particular, it is concluded that that the full range of the lapse should be used in such path in...

Although it is not known how to covariantly quantize the Green-Schwarz (GS) superstring, there exists a semi-light-cone gauge choice in which the GS superstring can be quantized in a conformally invariant manner. In this paper, we prove that BRST quantization of the GS superstring in semi-light-cone gauge is equivalent to BRST quantization using the pure spinor formalism for the superstring

We quantise the O(N) nonlinear sigma model using the Batalin Tyutin (BT) approach of converting a second class system into first class. It is a nontrivial application of the BT method since the quanti-sation of this model by the conventional Dirac procedure suffers from operator ordering ambiguities. The first class constraints, the BRST Hamiltonian and the BRST charge are explicitly computed. ...

In some of the physically interesting gauge systems, we show that application Noether theorem does not lead to deduction Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST charges obey precisely off-shell nilpotency property despite fact these are $(i)$ derived by using nilpotent (anti-)BRST symmetry transformations, $(ii)$ generators above continuous $(iii)$ conserved w.r.t. time-evolution due Eul...