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Bose-Fermi correspondence and Kac-Moody algebras in four dimensions
Phys. Rev. D 32, 436 – Published 15 July, 1985
DOI: https://doi.org/10.1103/PhysRevD.32.436
Abstract
The Schwinger terms in current-algebra commutation relations generated by a topological mass term in the Yang-Mills Lagrangian are analyzed. It is shown how the Schwinger terms modify the geometry of gauge-group orbits in the space of vector potentials. In 4+1 space-time dimensions the topological mass leads to a current algebra in 3+1 dimensions which in the case of an external Abelian monopole field is identical to a current algebra constructed from a four-component fermion field. The current algebra is a direct generalization of the standard Kac-Moody algebra in 1+1 dimensions.
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