Gauged sigma models from 2 + 1 dimensions and the issue of unitarity

Journal Article · Thu Sep 20 04:00:00 EDT 1990 · Modern Physics Letters A; (United States)

DOI:https://doi.org/10.1142/S0217732390002109· OSTI ID:5614295

Abouelsaood, A; Pope, C N; Sezgin, E; Shen, X ^[1]

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1. Center for Theoretical Physics, Texas A and M Univ., College Station, TX (US)

As a Lagrangian realization of the Goddard-Kent-Olive G/H coset construction, Castellani, D'Auria and Levi recently proposed a gauged Wess-Zumino-Witten model in which the topological term is a difference of Chern-Simons forms. This paper shows that their Lagrangian is actually an ungauged Wess-Zumino-Witten model plus a gauge field coupled linearly to an H-current, thus describing non-abelian chiral bosons with a linear constraint. The authors carry out the Dirac quantization procedure and show that the Hamiltonian is of the current-current form with indefinite signature, thus signaling instability. The authors also clarify the relationship of this model with that of Moore and Seiberg, which does provide an anomaly-free formulation of the GKO coset construction.

• OSTI ID: 5614295
• Journal Information: Modern Physics Letters A; (United States), Journal Name: Modern Physics Letters A; (United States) Vol. 5:23; ISSN 0217-7323; ISSN MPLAE
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON-EXCHANGE MODELS
BOSONS
CHIRAL SYMMETRY
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
HAMILTONIANS
INVARIANCE PRINCIPLES
LAGRANGIAN FIELD THEORY
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PERIPHERAL MODELS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SIGMA MODEL
SYMMETRY
TOPOLOGY
UNITARITY
WAVE EQUATIONS