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arXiv · hep-th/9301124

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

T. R. Govindarajan·R. Shankar·N. Shaji·M. Sivakumar
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Abstract

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 operators in the $σ$ 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 $σ$ model. We also explore the connection of this model with Quantum Hall Fluids.

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T. R. Govindarajan, R. Shankar, N. Shaji, M. Sivakumar. 1993-01-29. O(3) Non-linear $σ$ model with Hopf term and Higher spin theories. https://doi.org/10.1142/s0217751x93001612

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