Integrable structure of Conformal Field Theory III. The Yang-Baxter relation

Vladimir V. Bazhanov; Sergei L. Lukyanov; Alexander B. Zamolodchikov

doi:10.1007/s002200050531

Integrable structure of Conformal Field Theory III. The Yang-Baxter relation

Vladimir V. Bazhanov
, Sergei L. Lukyanov
, Alexander B. Zamolodchikov

Institute for Theoretical Physics

Stony Brook University

Australian National University
Steklov Mathematical Institute
Rutgers - The State University of New Jersey, New Brunswick
Landau Inst. for Theoretical Physics

Research output: Contribution to journal › Article › peer-review

264 Scopus citations

Abstract

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].

Original language	English
Pages (from-to)	297-324
Number of pages	28
Journal	Communications in Mathematical Physics
Volume	200
Issue number	2
DOIs	https://doi.org/10.1007/s002200050531
State	Published - 1999

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title = "Integrable structure of Conformal Field Theory III. The Yang-Baxter relation",

abstract = "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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AU - Bazhanov, Vladimir V.

AU - Lukyanov, Sergei L.

AU - Zamolodchikov, Alexander B.

PY - 1999

Y1 - 1999

N2 - 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].

AB - 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].

UR - https://www.scopus.com/pages/publications/0033248351

U2 - 10.1007/s002200050531

DO - 10.1007/s002200050531

M3 - Article

SN - 0010-3616

VL - 200

SP - 297

EP - 324

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -

Integrable structure of Conformal Field Theory III. The Yang-Baxter relation

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