4D Edge Currents from 5D Chem-Simons Theory

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dc.contributor.author Gupta, K. S.
dc.contributor.author Stern, Allen
dc.date.accessioned 2019-05-01T23:02:31Z
dc.date.available 2019-05-01T23:02:31Z
dc.date.copyright 1995
dc.date.issued 1995-05-22
dc.identifier.citation Gupta, K., Stern, A. (1995): 4D Edge Currents from 5D Chem-Simons Theory. Nuclear Physics B, 442(1-2). DOI: https://doi.org/10.1016/S0550-3213(95)00075-5 en_US
dc.identifier.uri http://ir.ua.edu/handle/123456789/5492
dc.description.abstract A class of two dimensional conformal field theories is known to correspond to three dimensional Chem-Simons theory. Here we claim that there is an analogous class of four dimensional field theories corresponding to five dimensional Chem-Simons theory. The four dimensional theories give a coupling between a scalar field and an external divergenceless vector field and they may have some application in magnetohydrodynamics. Like in conformal theories they possess a diffeomorphism symmetry, which for us is along the direction of the vector field, and their generators are analogous to Virasoro generators. Our analysis of the abelian Chem-Simons system uses elementary canonical methods for the quantization of field theories defined on manifolds with boundaries. Edge states appear for these systems and they yield a four dimensional current algebra. We examine the quantization of these algebras in several special cases and claim that a renormalization of the 5D Chem-Simons coupling is necessary for removing divergences. en_US
dc.description.uri https://doi.org/10.1016/S0550-3213(95)00075-5
dc.format.mimetype application/pdf en_US
dc.language English en_US
dc.publisher Elsevier en_US
dc.subject.lcsh Quantum field theory en_US
dc.subject.lcsh Linear topological spaces en_US
dc.title 4D Edge Currents from 5D Chem-Simons Theory en_US
dc.type text en_US
dc.rights.holder Elsevier B. V. en_US

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