Operator Algebras and Conformal Field Theory III. Fusion of positive energy representations of LSU(N) using bounded operators

Antony Wassermann

Operator Algebras and Conformal Field Theory III. Fusion of positive energy representations of LSU(N) using bounded operators

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arxiv math/9806031 v1 pith:TLAYTJB3 submitted 1998-06-07 math.OA hep-th

Antony Wassermann This is my paper · ORCID

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Fusion of positive energy representations is defined using Connes' tensor product for bimodules over a von Neumann algebra. Fusion is computed using the analytic theory of primary fields and explicit solutions of the Knizhnik-Zamolodchikov equation.

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Rational and non-rational two-dimensional conformal field theories arising from lattices
math-ph 2025-06 conditional novelty 7.0 of 10

Even lattices in an indefinite bilinear form classify two-dimensional conformal net extensions of Heisenberg nets under a discreteness assumption, with explicit rational and non-rational examples.

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