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The conformal spin and statistics theorem

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Abstract

We prove the equality between the statistics phase and the conformal univalence for a superselection sector with finite index in Conformal Quantum Field Theory onS 1. A relevant point is the description of the PCT symmetry and the construction of the global conjugate charge.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Roma “Tor Vergata”, via della Ricerca Scientifica, I-00133, Roma, Italia

    Daniele Guido & Roberto Longo

  2. Centro Linceo Interdisciplinare, Accademia Nazionale dei Lincei, via della Lungara 10, I-00165, Roma, Italia

    Roberto Longo

Authors
  1. Daniele Guido
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  2. Roberto Longo
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Additional information

Communicated by A. Connes

Dedicated to Daniel Kastler on the occasion of his seventieth birthday

Supported in part by MURST and CNR-GNAFA.

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Guido, D., Longo, R. The conformal spin and statistics theorem. Commun.Math. Phys. 181, 11–35 (1996). https://doi.org/10.1007/BF02101672

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  • DOI: https://doi.org/10.1007/BF02101672

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