0000000000924270

AUTHOR

Christian Fronsdal

showing 2 related works from this author

Three-dimensional singletons

1990

The three-dimensional analog of singleton gauge theory turns out to be related to the topological gauge theory of Schwartz and Witten. It is a fully-fledged gauge theory, though it involves only a single scalar field. Real, physical degrees of freedom propagate in 3-space, but they are ‘confined’ in the sense that they cannot be detected locally. The physical Hamiltonian density is not zero, but it is concentrated on the boundary at spatial infinity. This boundary surface, a torus, supports a two-dimensional conformal field theory.

Introduction to gauge theoryHamiltonian lattice gauge theorySupersymmetric gauge theoryLattice field theoryStatistical and Nonlinear PhysicsGeometryMathematical PhysicsGauge anomalyBRST quantizationGauge symmetryMathematicsGauge fixingMathematical physicsLetters in Mathematical Physics
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THREE-D SINGLETONS AND 2-D C.F.T.

1992

Two-dimensional Wess-Zumino-Novikov-Witten theory is extended to three dimensions, where it becomes a scalar gauge theory of the singleton type. The three-dimensional formulation involves a scalar field valued in a compact group G, a Nakanishi-Lautrup field valued in Lie (G) and Faddeev-Popov ghosts. The physical sector, characterized by the vanishing of the Nakanishi-Lautrup field, coincides with the WZNW theory of the group G. Three-dimensional space-time structure involves a generalized metric, but only its boundary values are of consequence. An alternative formulation in terms of left and right movers (in three dimensions!) is also possible.

PhysicsNuclear and High Energy PhysicsSingletonScalar (mathematics)Lie groupWess–Zumino–Witten modelAstronomy and AstrophysicsAtomic and Molecular Physics and OpticsHigh Energy Physics::TheoryCompact groupBoundary value problemGauge theoryScalar fieldMathematical physicsInternational Journal of Modern Physics A
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