39 research outputs found
Superspace formulation of general massive gauge theories and geometric interpretation of mass-dependent BRST symmetries
A superspace formulation is proposed for the osp(1,2)-covariant Lagrangian
quantization of general massive gauge theories. The superalgebra os0(1,2) is
considered as subalgebra of sl(1,2); the latter may be considered as the
algebra of generators of the conformal group in a superspace with two
anticommuting coordinates. The mass-dependent (anti)BRST symmetries of proper
solutions of the quantum master equations in the osp(1,2)-covariant formalism
are realized in that superspace as invariance under translations combined with
mass-dependent special conformal transformations. The Sp(2) symmetry - in
particular the ghost number conservation - and the "new ghost number"
conservation are realized as invariance under symplectic rotations and
dilatations, respectively. The transformations of the gauge fields - and of the
full set of necessarily required (anti)ghost and auxiliary fields - under the
superalgebra sl(1,2) are determined both for irreducible and first-stage
reducible theories with closed gauge algebra.Comment: 35 pages, AMSTEX, precision of reference
G_2 invariant 7D Euclidean super Yang-Mills theory as a higher-dimensional analogue of the 3D super-BF theory
A formulation of the N_T=1, D=8 Euclidean super Yang-Mills theory with
generalized self-duality and reduced Spin(7)-invariance is given which avoids
the peculiar extra constraints of Nishino and Rajpoot, hep-th/0210132. Its
reduction to 7 dimensions leads to the G_2-invariant N_T=2, D=7 super
Yang-Mills theory which may be regarded as a higher-dimensional analogue of the
N=2, D=3 super-BF theory. When reducing further that G_2-invariant theory to 3
dimensions one gets the N_T=2 super-BF theory coupled to a spinorial
hypermultiplet.Comment: 9 pages, Late
The basic cohomology of the twisted N=16, D=2 super Maxwell theory
We consider a recently proposed two-dimensional Abelian model for a Hodge
theory, which is neither a Witten type nor a Schwarz type topological theory.
It is argued that this model is not a good candidate for a Hodge theory since,
on-shell, the BRST Laplacian vanishes. We show, that this model allows for a
natural extension such that the resulting topological theory is of Witten type
and can be identified with the twisted N=16, D=2 super Maxwell theory.
Furthermore, the underlying basic cohomology preserves the Hodge-type structure
and, on-shell, the BRST Laplacian does not vanish.Comment: 9 pages, Latex; new Section 4 showing the invariants added; 2
references and relating remarks adde
Twisted N=8, D=2 super Yang-Mills theory as example of a Hodge-type cohomological theory
It is shown that the dimensional reduction of the N_T=2, D=3 Blau-Thompson
model to D=2, i.e., the novel topological twist of N=8, D=2 super Yang-Mills
theory, provides an example of a Hodge-type cohomological theory. In that
theory the generators of the topological shift, co-shift and gauge symmetry,
together with a discrete duality operation, are completely analogous to the de
Rham cohomology operators and the Hodge *-operation.Comment: 8 pages, Late
Topological gauge theories with antisymmetric tensor matter fields
A new type of topological matter interactions involving second-rank
antisymmetric tensor matter fields with an underlying topological
supersymmetry are proposed. The construction of the 4-dimensional,
Donaldson-Witten theory, the super-BF model and the
topological B-model with tensor matter are explicitly worked out.Comment: Latex, 17 pages; refinement of an argument, addition of a footnot
Algebraic renormalization of twisted N=2 supersymmetry with Z=2 central extension
We study the renormalizability of (massive) topological QCD based on the
algebraic BRST technique by adopting a non-covariant Landau type gauge and
making use of the full topological superalgebra. The most general local counter
terms are determined and it is shown that in the presence of central charges
the BRST cohomology remains trivial. By imposing an additional set of stability
constraints it is proven that the matter action of topological QCD is
perturbatively finite.Comment: 37 pages, AMSTE