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Duality,crossing and MacLane’s coherence
Authors:Ram Brustein  Yuval Ne’eman  Shlomo Sternberg
Institution:(1) Tel Aviv University, Ramat Aviv, Israel;(2) Present address: Department of Physics, University of Texas, Austin, Texas, USA;(3) Department of Mathematics, Harvard University, Cambridge, Massachusetts, USA
Abstract:It is shown that MacLane’ rectangle, pentagon and hexagon identities in category theory, when applied in particle physics to duality diagrams or to rational conformal field theories in two dimensions, yield the necessary physical algebraic constraints. Supported in part by DOE grant no. DE-FG05-85ER40200 Supported by US-Israel BSF grant 87-00009/1.
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