A bstract We consider the conformal field theory of N complex massless scalars in 2+ 1
dimensions, coupled to a U (N) Chern-Simons theory at level k. This theory has a't Hooft …

We develop elementary canonical methods for the quantization of Abelian and non-Abelian
Chern-Simons actions, using well-known ideas in gauge theories and quantum gravity. Our …

In a previous work, a straighforward canonical approach to the source-free quantum Chern—
Simons dynamics was developed. It makes use of neither gauge conditions nor functional …

We study the 2+ 1 dimensional boson–fermion duality in the presence of background
curvature and electromagnetic fields. The main players are, on the one hand, a massive …

We formulate the O (3) σ-model on fuzzy sphere and construct the Hopf term. We show that
the field can be expanded in terms of the ladder operators of Holstein–Primakoff realisation …

In this paper we study in detail the equivalence of the recently introduced Born–Infeld self-
dual model to the Abelian Born–Infeld–Chern–Simons model in 2+ 1 dimensions. We first …

We write down a local CP 1 model involving two gauge fields, which is exactly equivalent to
the O (3) σ model with the Hopf term. We impose the CP 1 constraint by using the Gaussian …

We show that the non-commutative CP1 model coupled with Hopf term in 3 dimensions is
equivalent to an interacting spin-s theory where the spin-s of the dual theory is related to the …

Following our earlier work we argue in detail for the equivalence of the nonlinear σ model
with Hopf term at θ= π/2s and an interacting spin-s theory. We give an ansatz for spin-s …

We study the Fermionisation of Seiberg-Witten mapped action of the self-coupled scalar field
in fundamental representation coupled minimally with U (1) gauge field governed by Chern …