1,428 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
Non-Critical Strings, Del Pezzo Singularities And Seiberg-Witten Curves
We study limits of four-dimensional type II Calabi-Yau compactifications with
vanishing four-cycle singularities, which are dual to \IT^2 compactifications
of the six-dimensional non-critical string with symmetry. We define
proper subsectors of the full string theory, which can be consistently
decoupled. In this way we obtain rigid effective theories that have an
intrinsically stringy BPS spectrum. Geometrically the moduli spaces correspond
to special geometry of certain non-compact Calabi-Yau spaces of an intriguing
form. An equivalent description can be given in terms of Seiberg-Witten curves,
given by the elliptic simple singularities together with a peculiar choice of
meromorphic differentials. We speculate that the moduli spaces describe
non-perturbative non-critical string theories.Comment: 29 pages, harvmac, 1 figure, minor correction
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