1,237 research outputs found
New Type of Vector Gauge Theory from Noncommutative Geometry
Using the formalism of noncommutative geometric gauge theory based on the
superconnection concept, we construct a new type of vector gauge theory
possessing a shift-like symmetry and the usual gauge symmetry. The new
shift-like symmetry is due to the matrix derivative of the noncommutative
geometric gauge theory, and this gives rise to a mass term for the vector field
without introducing the Higgs field. This construction becomes possible by
using a constant one form even matrix for the matrix derivative, for which only
constant zero form odd matrices have been used so far. The fermionic action in
this formalism is also constructed and discussed.Comment: 12 pages, LaTeX file, to appear in Phys. Lett.
Geometrical Interpretation of BRST Symmetry in Topological Yang-Mills-Higgs Theory
We study topological Yang-Mills-Higgs theories in two and three dimensions
and topological Yang-Mills theory in four dimensions in a unified framework of
superconnections. In this framework, we first show that a classical action of
topological Yang-Mills type can provide all three classical actions of these
theories via appropriate projections. Then we obtain the BRST and anti-BRST
transformation rules encompassing these three topological theories from an
extended definition of curvature and a geometrical requirement of Bianchi
identity. This is an extension of Perry and Teo's work in the topological
Yang-Mills case. Finally, comparing this result with our previous treatment in
which we used the ``modified horizontality condition", we provide a meaning of
Bianchi identity from the BRST symmetry viewpoint and thus interpret the BRST
symmetry in a geometrical setting.Comment: 16 pages, LaTeX fil
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