Gauge Dressing of 2D Field Theories

Gauge Dressing of 2D Field Theories

By using the gauge Ward identities, we study correlation functions of gauged WZNW models. We show that the gauge dressing of the correlation functions can be taken into account as a solution of the Knizhnik-Zamolodchikov equation. Our method is analogous to the analysis of the gravitational dressing of 2D field theories.

Exact Solutions of 2d Supersymmetric Gauge Theories

We study dynamics of two-dimensional non-abelian gauge theories with N = (0, 2) supersymmetry that includeN = (0, 2) supersymmetric QCD and its generalizations. In particular, we present the phase diagram of N = (0, 2) SQCD and determine its massive and low-energy spectrum. We find that the theory has no mass gap, a nearly constant distribution of massive states, and lots of massless states tha...

Topological Conformal Field Theories and Gauge Theories

This paper gives a construction, using heat kernels, of differential forms on the moduli space of metrised ribbon graphs, or equivalently on the moduli space of Riemann surfaces with boundary. The construction depends on a manifold with a bundle of Frobenius algebras, satisfying various conditions. These forms satisfy gluing conditions which mean they form an open topological conformal field th...

Gauge Field Theories Second Edition

On bosonization of 2d conformal field theories

We show how bosonic (free field) representations for so-called degenerate conformal theories are built by singular vectors in Verma modules. Based on this construction, general expressions of conformal blocks are proposed. As an example we describe new modules for the SL(2) Wess-Zumino -Witten model. They are, in fact, the simplest non-trivial modules in a full set of bosonized highest weight r...