Current algebra representation for the \(3+1\) dimensional Dirac-Yang-Mills theory
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Publication:1101838
DOI10.1007/BF01223593zbMath0643.22009MaRDI QIDQ1101838
Publication date: 1988
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Dirac operatorunitary representationscompact Lie groupdeterminant bundle3-dimensional compact spin manifoldintertwining actionPositive energy representationssmooth maps of the circle
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)
Related Items
Fermion current algebras and Schwinger terms in \((3+1)\)-dimensions, QCD on an infinite lattice, Noncommutative integration calculus, Geometry of infinite dimensional Grassmannians and the Mickelsson-Rajeev cocycle, On the Mickelsson-Faddeev extension and unitary representations, Universal Schwinger cocycles of current algebras in \((D+1)\)-dimensions: Geometry and physics
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