Jet coordinates for local BRST cohomology

The construction of appropriate jet space coordinates for calculating local BRST cohomology groups is discussed. The relation to tensor calculus is briefly reviewed too.Comment: 11 pages, correction in eq. (29), to appear in Lett.Math.Phy

Local BRST cohomology and covariance

The paper provides a framework for a systematic analysis of the local BRST cohomology in a large class of gauge theories. The approach is based on the cohomology of s+d in the jet space of fields and antifields, s and d being the BRST operator and exterior derivative respectively. It relates the BRST cohomology to an underlying gauge covariant algebra and reduces its computation to a compactly formulated problem involving only suitably defined generalized connections and tensor fields. The latter are shown to provide the building blocks of physically relevant quantities such as gauge invariant actions, Noether currents and gauge anomalies, as well as of the equations of motion.Comment: 33 pages, latex 2.09, no figures, introduction extended + minor modifications; final version, to appear in Commun. Math. Phy

On the Proper Setup of the Double Mach Reflection as a Test Case for the Resolution of Gas Dynamics Codes

This note discusses the initial and boundary conditions as well as the size of the computational domain for the double Mach reflection problem when set up as a test for the resolution of an Euler scheme for gas dynamics

Supersymmetry algebra cohomology II: Primitive elements in 2 and 3 dimensions

The primitive elements of the supersymmetry algebra cohomology as defined in a companion paper are computed exhaustively for standard supersymmetry algebras in dimensions D=2 and D=3, for all signatures (t,D-t) and all numbers N of sets of supersymmetries.Comment: 19 pages; v3: matches published version; presentation of D=3 analysis streamlined; presentation of lemmas 2.3 and 2.5 improved; minor correction of misprints; minor change of titl