A bstract It is argued that 4 d SU( N ) $$ \mathcal{N} N = SYM has an accumulation line of zero-temperature topologically ordered phases. Each these phases corresponds to bound states charged under electromagnetic {\mathbb{Z}}_N^{(1)} ℤ 1 </mml:mfe...

We consider the C 2 Toda theory in the reduced WZNW framework. Analysing the classical representation space of the symmetry algebra (which is the corresponding C 2 W algebra) we determine its classical highest weight representations. We quantise the model promoting only the relevant quantities to operators. Using the quantised equation of motion we determine the selection rules for the u field ...

We analyse the deconfining phase transition in the SU(N) Georgi-Glashow model in 2+1 dimensions. We show that the phase transition is second order for any N , and the universality class is different from the ZN invariant Villain model. At large N the conformal theory describing the fixed point is a deformed SU(N)1 WZNW model which has N-1 massless fields. It is therefore likely that its self-du...

2-dimensional fermions are coupled to extrinsic geometry of a conformally immersed surface in R through gauge coupling. By integrating out the fermions, we obtain a WZNW action involving extrinsic curvature of the surface. Restricting the resulting effective action to surfaces of h √ g = 1, an explicit form of the action invariant under Virasaro symmetry is obtained. This action is a sum of the...