Gauge symmetries in 2D field theory

Q-structure of Conformal Field Theory with Gauge Symmetries

Introduction It is well-known that abelian conformal eld theory has rich arithmetic structure (see, for example [DKK], [KSU1], [KSU2], [KUS3]). It is natural to ask whether this is also the case for no-abelian conformal eld theory. For the rst step to study arithmetic properties of non-abelian conformal eld theory, in the present notes we shall study the eld of de nition of conformal eld theory...

Symmetries in Conformal Field Theory

Let’s begin by recalling a fact about 2d conformal field theories from Phil’s talk last week. Firstly, we can define a complex semigroup A whose objects are conformal equivalence classes of Riemann surfaces which are diffeomorphic to annuli, equipped with parameterisations of their boundary components, one incoming and one outgoing. The semigroup operation is given by gluing an outgoing to an i...

Galilean noncommutative gauge theory: symmetries & vortices

Noncommutative Chern-Simons gauge theory coupled to nonrelativistic scalars or spinors is shown to admit the “exotic” two-parameter-centrally extended Galilean symmetry, realized in a unique way consistent with the Seiberg-Witten map. Nontopological spinor vortices and topological external-field vortices are constructed by reducing the problem to previously solved self-dual equations.

0 Hamiltonian structure and gauge symmetries of Poincaré gauge theory ∗

This is a review of the constrained dynamical structure of Poincaré gauge theory which concentrates on the basic canonical and gauge properties of the theory, including the identification of constraints, gauge symmetries and conservation laws. As an interesting example of the general approach we discuss the teleparallel formulation of general relativity.

Gauge Field Theory Models