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Conformal Edge Currents in Chern-Simons Theories

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arxiv hep-th/9110072 v1 pith:J6Z7QVPU submitted 1991-10-30 hep-th

A.P.Balachandran , G. Bimonte , K.S.Gupta , A. Stern This is my paper · ORCID
classification hep-th
keywords chern-simonsedgetheoriescanonicaldiscgaugestatesabelian
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We develop elementary canonical methods for the quantization of abelian and nonabelian Chern-Simons actions using well known ideas in gauge theories and quantum gravity. Our approach does not involve choice of gauge or clever manipulations of functional integrals. When the spatial slice is a disc, it yields Witten's edge states carrying a representation of the Kac-Moody algebra. The canonical expression for the generators of diffeomorphisms on the boundary of the disc are also found, and it is established that they are the Chern-Simons version of the Sugawara construction. This paper is a prelude to our future publications on edge states, sources, vertex operators, and their spin and statistics in 3D and 4D topological field theories.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Enhanced Conformal $BMS_3$ Symmetries

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    A boundary-condition analysis of extended conformal gravity in 3D yields a new nonlinear W(2,2,2,2,1,1,1) asymptotic symmetry algebra whose central charges are fixed by the Virasoro central charge.

  2. Revisiting boundary electromagnetic duality and edge modes

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    In 4D Maxwell theory, standard Neumann/Dirichlet boundary conditions render large gauge transformations and edge mode shifts as gauge redundancies, while modified conditions make them physical symmetries generated by ...

  3. The Schrodinger Equation as a Gauge Theory

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    The Schrödinger equation is locally equivalent to a gauge theory with one-form fields in 2+1D and two-form fields in 3+1D, with BF and Chern-Simons terms organizing electromagnetic couplings, anyons, Berry phases, and...

  4. Notes from the bulk

    hep-th 2025-07 conditional novelty 4.0 of 10

    A boundary-QFT analysis shows that curved bulk metrics create local edge velocities in topological models and that fracton and linearized-gravity theories carry Kac-Moody boundary algebras.

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