11 research outputs found
Conquest of the ghost pyramid of the superstring
We give a new Becchi-Rouet-Stora-Tyutin operator for the superstring. It
implies a quadratic gauge-fixed action, and a new gauge-invariant action with
first-class constraints. The infinite pyramid of spinor ghosts appears in a
simple way through ghost gamma matrices.Comment: 30 pages, 1 figure, Late
Generalized Classical BRST Cohomology and Reduction of Poisson Manifolds
In this paper, we formulate a generalization of the classical BRST
construction which applies to the case of the reduction of a poisson manifold
by a submanifold. In the case of symplectic reduction, our procedure
generalizes the usual classical BRST construction which only applies to
symplectic reduction of a symplectic manifold by a coisotropic submanifold,
\ie\ the case of reducible ``first class'' constraints. In particular, our
procedure yields a method to deal with ``second-class'' constraints. We
construct the BRST complex and compute its cohomology. BRST cohomology vanishes
for negative dimension and is isomorphic as a poisson algebra to the algebra of
smooth functions on the reduced poisson manifold in zero dimension. We then
show that in the general case of reduction of poisson manifolds, BRST
cohomology cannot be identified with the cohomology of vertical differential
forms.Comment: 3
Hamiltonian BRST-anti-BRST Theory
The hamiltonian BRST-anti-BRST theory is developed in the general case of
arbitrary reducible first class systems. This is done by extending the methods
of homological perturbation theory, originally based on the use of a single
resolution, to the case of a biresolution. The BRST and the anti-BRST
generators are shown to exist. The respective links with the ordinary BRST
formulation and with the -covariant formalism are also established.Comment: 34 pages, Latex fil
Characteristic cohomology of -form gauge theories
The characteristic cohomology for an arbitrary set of free
-form gauge fields is explicitly worked out in all form degrees ,
where is the spacetime dimension. It is shown that this cohomology is
finite-dimensional and completely generated by the forms dual to the field
strengths. The gauge invariant characteristic cohomology is also computed. The
results are extended to interacting -form gauge theories with gauge
invariant interactions. Implications for the BRST cohomology are mentioned.Comment: Latex file, no figures, 44 page
From the Hamiltonian to the Lagrangean formalism for 1-reducible theories. The Freedman-Townsend model
Local BRST cohomology in the antifield formalism: I. General theorems
info:eu-repo/semantics/publishe