2,728 research outputs found
The three-dimensional BF Model with Cosmological Term in the Axial Gauge
We quantize the three-dimensional -model using axial gauge conditions.
Exploiting the rich symmetry-structure of the model we show that the
Green-functions correspond to tree graphs and can be obtained as the unique
solution of the Ward-Identities. Furthermore, we will show that the theory can
be uniquely determined by symmetry considerations without the need of an action
principle.Comment: one reference added, transmission errors correcte
Vector supersymmetry in topological field theories
We present a simple derivation of vector supersymmetry transformations for
topological field theories of Schwarz- and Witten-type. Our method is similar
to the derivation of BRST-transformations from the so-called horizontality
conditions or Russian formulae. We show that this procedure reproduces in a
concise way the known vector supersymmetry transformations of various
topological models and we use it to obtain some new transformations of this
type for 4d topological YM-theories in different gauges.Comment: 19 page
Algebraic characterization of gauge anomalies on a nontrivial bundle
We discuss the algebraic way of solving the descent equations corresponding
to the BRST consistency condition for the gauge anomalies and the Chern--Simons
terms on a nontrivial bundle. The method of decomposing the exterior derivative
as a BRST commutator is extended to the present case.Comment: 15 pages, LaTeX, no figure
Interacting six-dimensional topological field theories
We study the gauge-fixing and symmetries (BRST-invariance and vector
supersymmetry) of various six-dimensional topological models involving Abelian
or non-Abelian 2-form potentials.Comment: 11 page
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