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New Braided Endomorphisms from Conformal Inclusions

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Abstract:

Various puzzles about subfactors and integrable lattice models associated with conformal inclusions are resolved in the framework of constructive quantum field theory in two dimensions. In particular, a new class of braided endomorphisms are obtained for a general class of conformal inclusions and their properties are analyzed. The existence of subfactors with principal graphs E 6 or E 8 follows from a rather simple argument in our construction. The fusion graphs of many new examples are given.

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  1. Department of Mathematics, University of California, Los Angeles, CA 90095-1555, USA, , , , , , US

    Feng Xu

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  1. Feng Xu
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Received: 12 September 1996 / Accepted: 3 July 1997

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Xu, F. New Braided Endomorphisms from Conformal Inclusions . Comm Math Phys 192, 349–403 (1998). https://doi.org/10.1007/s002200050302

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  • DOI: https://doi.org/10.1007/s002200050302

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