Istituto Nazionale di Fisica Nucleare, Sezione di Trieste,
Strada Costiera 11, 34014-Trieste, Italy
Abstract:
We consider the reduced, quenched version of a generalized
Yang-Mills action in -dimensional spacetime. This is a
new kind of matrix theory which is mapped through the
Weyl-Wigner-Moyal correspondence into a field theory over
a non-commutative phase space. We show that the ``classical''
limit of this field theory is encoded into the effective
action of an open, -dimensional, bulk brane enclosed
by a dynamical, Chern-Simons type, -dimensional,
boundary brane. the bulk action is a pure volume term, while
the boundary action carries all the dynamical degrees of
freedom.