301 research outputs found
The "Dual" Variables Of Yang-Mills Theory And Local Gauge Invariant Variables
After adding auxiliary fields and integrating out the original variables, the
Yang-Mills action can be expressed in terms of local gauge invariant variables.
This method reproduces the known solution of the two dimensional
theory. In more than two dimensions the action splits into a topological part
and a part proportional to . We demonstrate the procedure for
in three dimensions where we reproduce a gravity-like theory. We discuss the
four dimensional case as well. We use a cubic expression in the fields as a
space-time metric to obtain a covariant Lagrangian. We also show how the
four-dimensional theory can be expressed in terms of a local action
with six degrees of freedom only.Comment: 34pp, LaTeX, Corrections in reference
On Duality Rotations in Light-Like Noncommutative Electromagnetism
We study electric-magnetic duality rotations for noncommutative
electromagnetism (NCEM). We express NCEM as a nonlinear commutative U(1) gauge
theory and show that it is self-dual when the noncommutativity parameter \theta
is light-like (e.g. \theta^{0i}=\theta^{1i}). This implies, in the slowly
varying field approximation, self-duality of NCEM to all orders in \theta.Comment: Talk given at Euroconference on Brane New World and Noncommutative
Geometry, Villa Gualino, Torino, Italy, 2-7 Oct 2000. 8 pages, LaTe
Classical self-dual strings in d=6, (2,0) theory from afar
We show how one can get solitonic strings in a six-dimensional (2,0)
supersymmetric theory by incorporating a nonlinear interaction term. We derive
a zero force condition between parallel strings, and compute a metric on a
moduli space which is when the strings are far apart. When compactifying
the strings on a two-torus we show that, in the limit of vanishing two-torus,
one regains the moduli space of two widely separated dyons of equal magnetic
charges in four dimensions.Comment: 13 pages, clarifications and added reference
The non-Abelian tensor multiplet in loop space
We introduce a non-Abelian tensor multiplet directly in the loop space
associated with flat six-dimensional Minkowski space-time, and derive the
supersymmetry variations for on-shell supersymmetry.Comment: 11 pages, v2: cleaner presentation, mistakes are corrected (and an
erroneous section was removed
Equivalence of partition functions for noncommutative U(1) gauge theory and its dual in phase space
Equivalence of partition functions for U(1) gauge theory and its dual in
appropriate phase spaces is established in terms of constrained hamiltonian
formalism of their parent action. Relations between the electric--magnetic
duality transformation and the (S) duality transformation which inverts the
strong coupling domains to the weak coupling domains of noncommutative U(1)
gauge theory are discussed in terms of the lagrangian and the hamiltonian
densities. The approach presented for the commutative case is utilized to
demonstrate that noncommutative U(1) gauge theory and its dual possess the same
partition function in their phase spaces at the first order in the
noncommutativity parameter \theta .Comment: 15 pages. Version to appear in JHE
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