15 research outputs found
Topological Gravity on Shift Superspace Formulation
In this contribution, we re-assess the subject of topological gravity by
following the Shift Supersymmetry formalism. The gauge-fixing of the theory
goes under the Batallin-Vilkovisky (BV) prescription based on a diagram that
contains both ghost and anti-ghost superfields, associated to the
super-vielbein and the super-Lorentz connection. We extend the formulation of
the topological gravity action to an arbitrary number of dimensions of the
shift superspace by adopting a formulation based on the gauge-fixing for
BF-type models
Anti-symmetric rank-2 Matter Field on Superspace for N_{T}=2
In this work, we discuss the interaction between anti-symmetric rank-two
tensor matter and topological Yang-Mills fields. The matter field considered
here is the rank-2 Avdeev-Chizhov tensor matter field in a suitably extended
SUSY. We start off from the , D=4 superspace formulation and
we go over to Riemannian manifolds. The matter field is coupled to the
topological Yang-Mills field. We show that both actions are obtained as
exact forms, which allows us to write the energy-momentum tensor as
exact observables.Comment: 10 pages, no figure, LaTe
Superspace Gauge Fixing of Topological Yang-Mills Theories
We revisit the construction of topological Yang-Mills theories of the Witten
type with arbitrary space-time dimension and number of ``shift supersymmetry''
generators, using a superspace formalism. The super-BF structure of these
theories is exploited in orderto determine their actions uniquely, up to the
ambiguities due to the fixing of the Yang-Mills and BF gauge invariance. UV
finiteness to all orders of perturbation theory is proved in a gauge of the
Landau type.Comment: 26 pages, no figures, Late
Observables in Topological Yang-Mills Theories With Extended Shift Supersymmetry
We present a complete classification, at the classical level, of the
observables of topological Yang-Mills theories with an extended shift
supersymmetry of N generators, in any space-time dimension. The observables are
defined as the Yang-Mills BRST cohomology classes of shift supersymmetry
invariants. These cohomology classes turn out to be solutions of an N-extension
of Witten's equivariant cohomology. This work generalizes results known in the
case of shift supersymmetry with a single generator.Comment: 27 pages, Late