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Fusion potentials for Gk and handle squashing

1991/10/22 by Michael Crescimanno · 1 citation
Engineering · Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Quantum many-body systems #Sports Dynamics and Biomechanics #hep-th

paper · pdf · doi:10.1016/0550-3213(93)90249-o

published as Nucl.Phys. B393 (1993) 361-376 · (24 pages)

arxiv created 1991/10/22 · openalex publication_date 1993/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using Chern-Simons gauge theory, we show that the fusion ring of the conformal field theory Gk is isomorphic to P(u)/(\del V), where V is a polynomial in u and (\del V) is the ideal generated by the conditions \del V=0. We also derive a residue-like formula for the correlation functions in the Chern-Simons theory thus providing a RCFT version of the residue formula for the TLG models. An operator that acts like the measure in the residue formula has the ionterpretation of a handle squashing operator and an explicit formula for this operator is given.

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