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Chiral Nets And Modular Methods

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Groups and Related Topics

Part of the book series: Mathematical Physics Studies ((MPST,volume 13))

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Abstract

We derive space-time covariances from modular properties of von Neumann algebras for chiral nets. The ensuing euclidean theory is shown to be non-commutative.

talk contributed to the German-Polish Max-Born Symposium in theoretical Physics, Wroclaw, Poland, Sept. 27-29, 1991

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References

  1. A. Klein and L.J. Landau, Journal of Functional Analysis 42 (1981) 368 and references therein.

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  2. H.J. Borchers, Commun. Math. Phys. 1 (1963) 37, R. Haag and D. Kastler, J. Math. Phys. 5 (1964) 848, S. Doplicher, R. Haag and J.E. Roberts, Commun. Math. Phys. 23 (1971) 199 and 33 (1974) 49.

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  3. The reader finds all the relevant theorem in “Le algebra C*; e le loro applicazioni alla meccanica statistica ed alla teoria quantistical dei campi”, Proceedings of the 1976 Enrico Fermi School in Varenna, North Holland Pub!..

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  4. V. Jones, Inv. Math. 72 (1983) 1

    Article  ADS  MATH  Google Scholar 

  5. H.J. Borchers “The CPT Theorem in Two-Dimensional Theories of Local Observables” University of Gottingen.

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  6. D. Buchholz and H. Schulz-Mirbach, Reviews in Mathematical Physics 2 (1990) 105.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. R. Longo, Commun. Math. Phys. 126 (1989) 217 and 130 (1990) 285.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. Joint work with H.W. Wiesbrock, to be issued as a FU preprint.

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  9. D. Buchholz and F. Wichmann, CMP 106 (1986).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, Germany, D-1000, Berlin 33

    B. Schroer

Authors
  1. B. Schroer
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Editor information

Editors and Affiliations

  1. Institute of Theoretical Physics, University of Wrocław, Wrocław, Poland

    R. Gielerak , J. Lukierski  & Z. Popowicz ,  & 

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© 1992 Springer Science+Business Media Dordrecht

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Schroer, B. (1992). Chiral Nets And Modular Methods. In: Gielerak, R., Lukierski, J., Popowicz, Z. (eds) Groups and Related Topics. Mathematical Physics Studies, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2801-8_20

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  • DOI: https://doi.org/10.1007/978-94-011-2801-8_20

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5244-3

  • Online ISBN: 978-94-011-2801-8

  • eBook Packages: Springer Book Archive

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