CP1 MODEL WITH HOPF TERM AND FRACTIONAL SPIN STATISTICS

Hopf Term , Fractional Spin and Soliton Operators in the O ( 3 ) Nonlinear Sigma Model

We re-examine three issues, the Hopf term, fractional spin and the soliton operators, in the 2 + 1 dimensional O(3) nonlinear sigma model based on the adjoint orbit parametrization (AOP) introduced earlier. It is shown that the Hopf term is well-defined for configurations of any soliton charge Q if we adopt a time independent boundary condition at spatial infinity. We then develop the Hamiltoni...

Pauli’s Term and Fractional Spin

In this work we consider an Abelian Chern-Simons-Higgs model coupled non-minimally to matter fields. This coupling is implemented by means of a Pauli-type coupling. We show that the Pauli term is sufficient to gives rise to fractional spin. PACS numbers: 11.15.-q, 11.10.Ef, 11.10.Kk, 11.30.-j The fractional statistics [1] with its theoretical and applicable consequences plays an interesting int...

Relativistic Quantum Theory with Fractional Spin and Statistics

Spin-singlet superfluid state for spin-1 bosons with fractional spin and statistics

We study a strongly correlated spin-1 Bose gas in 2D space by using the projective construction. A spin-singlet superfluid state is constructed and proposed as a candidate competing with the conventional polar condensate when interaction is antiferromagnetic. This novel state has a nontrivial topological order whose low energy excitations carry fractional spin, charge, and statistics. The spin ...

Comment on ”non-commutative Duality: High Spin Fields and Cp (1) Model with Hopf Term”

We comment on a recent paper (hep-th/0406273) [1] where Non-Commutative (NC) extension of the CP (1) model coupled to Hopf term and its equivalence with an interacting spin system has been considered. We argue that the NC CP (1) model with Hopf term, along with the constraint structure, as formulated in [1] is incomplete. However, the final results obtained in [1] can be made consistent after a...