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Integrable Structure of Conformal Field Theory III. The Yang–Baxter Relation

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In this paper we fill some gaps in the arguments of our previous papers [1,2]. In particular, we give a proof that the L operators of Conformal Field Theory indeed satisfy the defining relations of the Yang–Baxter algebra. Among other results we present a derivation of the functional relations satisfied by T and Q operators and a proof of the basic analyticity assumptions for these operators used in [1,2].

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Authors and Affiliations

  1. Department of Theoretical Physics and Center of Mathematics and its Applications, IAS, Australian National University, Canberra, ACT 0200, Australia, , , , , , AU

    Vladimir V. Bazhanov

  2. Department of Physics and Astronomy, Rutgers University, Piscataway, NJ 08855-049, USA, , , , , , US

    Sergei L. Lukyanov & Alexander B. Zamolodchikov

Authors
  1. Vladimir V. Bazhanov
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  2. Sergei L. Lukyanov
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  3. Alexander B. Zamolodchikov
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Received: 20 May 1998 / Accepted: 7 July 1998

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Bazhanov, V., Lukyanov, S. & Zamolodchikov, A. Integrable Structure of Conformal Field Theory III. The Yang–Baxter Relation. Comm Math Phys 200, 297–324 (1999). https://doi.org/10.1007/s002200050531

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  • DOI: https://doi.org/10.1007/s002200050531

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