General 2+1 Dimensional Effective Actions and Soliton Spin Fractionalization

Abstract

We propose actions for non-linear sigma models on cosets $G/H$ in 2+1 dimensions that include the most general non-linear realizations of Chern-Simons terms. When $G$ is simply connected and $H$ contains $r$ commuting U(1) factors, there are $r$ different topologically conserved charges and generically $r$ different types of topological solitons. Soliton spin fractionalizes as a function of the Chern-Simons couplings, with independent spins associated to each species of soliton charge, as well as to pairs of different charges. This model of soliton spin fractionalization generalizes to arbitrary $G/H$ a model of Wilczek and Zee for one type of soliton.

10 pp., Plain Tex, no figures

References in corpus (4)

• Spontaneous Inter-layer Coherence in Double-Layer Quantum-Hall Systems I: Charged Vortices and Kosterlitz-Thouless Phase Transitions
• Current Algebra in Three Dimensions
• The Effective Lagrangian of Three Dimensional Quantum Chromodynamics
• Spin-Singlet to Spin Polarized Phase Transition at $\nu =2/3$: Flux-Trading in Action

Cited by in corpus (4)

• Metastable Vacua in Large-$N$ QCD${}_3$
• Topological interactions of Nambu-Goldstone bosons in quantum many-body systems
• On Topological Terms in the O(3) Nonlinear Sigma Model
• Hopf Term, Fractional Spin and Soliton Operators in the O(3) Nonlinear Sigma Model