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Extension of Geodesic Algebras to Continuous Genus

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Abstract

Using the Penner–Fock parameterization for Teichmüller spaces of Riemann surfaces with holes, we construct the string-like free-field representation of the Poisson and quantum algebras of geodesic functions in the continuous-genus limit.

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Authors and Affiliations

  1. Steklov Mathematical Institute, Gubkina 8, 117966, GSP-1, Moscow, Russia

    L. Chekhov

  2. Institute for Experimental and Theoretical Physics, Moscow, Russia

    L. Chekhov

  3. Laboratoire Internationale Franco–Russie, Moscow, Russia

    L. Chekhov

  4. Dipartimento di Fisica Teorica, Università degli Studi di Torino and Istituto Nazionale di Fisica Nucleare, Sezione di Torino, via Pietro Giuria 1, 10125, Torino, Italy

    J. E. Nelson

  5. Dipartimento di Fisica, Politecnico di Torino, Corso Duca degli Abruzzi, 10129, Torino, Italy

    T. Regge

Authors
  1. L. Chekhov
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  2. J. E. Nelson
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  3. T. Regge
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Correspondence to J. E. Nelson.

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Chekhov, L., Nelson, J.E. & Regge, T. Extension of Geodesic Algebras to Continuous Genus. Lett Math Phys 78, 17–26 (2006). https://doi.org/10.1007/s11005-006-0112-4

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  • DOI: https://doi.org/10.1007/s11005-006-0112-4

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