A Study of Fermions Coupled to Gauge and Gravitational Fields on a Cylinder

Abstract

Fermions on a cylinder coupled to gravity and gauge fields are examined by studying the geometric action associated with the symmetries of such a system. The gauge coupling constant is shown to be constrained and the effect of gravity on the masses is discussed. Furthermore, we introduce a new gravitational theory which couples to the fermions by promoting the coadjoint vector of the diffeomorphism sector to a dynamical variable. This system, together with the gauge sector is shown to be equivalent to a one dimensional system.

16 pages, UI-94-2 (Some minor typographical errors are cleaned up.)

References in corpus (2)

• Gauge Theories on a Cylinder
• Applications of W-algebras to BF theories, QCD and 4D Gravity

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• Superspace Geometrical Realization of the N-Extended Super Virasoro Algebra and its Dual
• Inflation from Dynamical Projective Connections
• General Coordinate Transformations as the Origins of Dark Energy
• Covariant and Manifestly Projective Invariant Formulation of Thomas-Whitehead Gravity
• Chiral Supergravitons Interacting with a 0-Brane N-Extended NSR Super-Virasoro Group
• Constraint Analysis and Quantization of Anomalous 2-D Thomas-Whitehead Gravity