Current Algebras in $3+1$ dimensions
Jouko Mickelsson
TL;DR
This paper explores a generalized representation theory of current algebras in 3+1 dimensions using multiple mathematical frameworks, aiming to deepen understanding of their structure.
Contribution
It introduces a comprehensive approach combining the Fock bundle, sesquilinear forms, and Hilbert space cocycles for current algebras in four-dimensional spacetime.
Findings
Development of a unified framework for current algebra representations
Extension of existing theories to higher dimensions
Potential applications in quantum field theory
Abstract
Aspects of a generalized representation theory of current algebras in dimensions are discussed in terms of the Fock bundle method, the sesquilinear form approach (of Langmann and Ruijsenaars), and Hilbert space cocycles.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Advanced Operator Algebra Research