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$p$-Branes from Generalized Yang-Mills Theory


S. Ansoldi1
Dipartimento di Fisica Teorica dell'Università,
Istituto Nazionale di Fisica Nucleare, Sezione di Trieste,
Strada Costiera 11, 34014-Trieste, Italy


C. Castro2
Center for Theoretical Studies of Physical Systems
Clark Atlanta University, Atlanta, GA30314


E.Spallucci3
Dipartimento di Fisica Teorica dell'Università,
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 $4k$-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, $(4k-1)$-dimensional, bulk brane enclosed by a dynamical, Chern-Simons type, $(4k-2)$-dimensional, boundary brane. the bulk action is a pure volume term, while the boundary action carries all the dynamical degrees of freedom.




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Stefano Ansoldi