O(3) Non-linear $σ$ model with Hopf term and Higher spin theories

Details O(3) Non-linear $σ$ model with Hopf term and Higher spin theories O(3) Non-linear $σ$ model with Hopf term and Higher spin theories

1993-01-29

arxiv.org/abs/hep-th/9301124v1

Int.J.Mod.Phys. A8 (1993) 3965-3992

Physics

High Energy Physics

High Energy Physics - Theory

34 pages LATEX FILE

Scientific paper

Following our earlier work we argue in detail for the equivalence of the nonlinear $\sigma$ model with Hopf term at~$\theta=\pi/2s$ ~and an interacting spin-s theory. We give an ansatz for spin-s operators in the $\sigma$ model and show the equivalence of the correlation functions.We also show the relation between topological and Noether currents. We obtain the Lorentz and discrete transformation properties of the spin-s operator from the fields of the $\sigma$ model. We also explore the connection of this model with Quantum Hall Fluids.

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