We show how particle-vortex duality in d= 2+ 1 dimensions arises as part of an intricate web
of relationships between different field theories. The starting point is “bosonization,” a …

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 …

A bstract Bosonization dualities relate two different Chern-Simons-matter theories, with
bosonic matter on one side replaced by fermionic matter on the other. We first describe a …

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 …

We show the partition function of self-interacting charged scalar fields coupled with Abelian
gauge fields governed by Maxwell-Chern-Simons action is equivalent in the long …

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 …

We discover a correspondence between the free field and the interacting states. This
correspondence is firstly given from the fact that the free propagator can be converted into a …

BPS Approaches to Anyons, Quantum Hall States and Quantum Gravity Page 1 BPS
Approaches to Anyons, Quantum Hall States and Quantum Gravity Carl Peter Turner Department …

We demonstrate explicitly the correspondence between all protected operators in a 2+ 1
dimensional non-supersymmetric bosonization duality in the non-relativistic limit. Roughly …