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

1998/05/31 by Vladimir V. Bazhanov, V. V. Bazhanov, S. L. Lukyanov +3 · 17 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Computer science #Conformal field theory #Conformal map #Field (mathematics) #Integrable system #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Primary field #Pure mathematics #Relation (database) #hep-th

paper · pdf · doi:10.1007/s002200050531

published as Commun.Math.Phys.200:297-324,1999 · 35 pages, harvmac TeX, minor changes, references added

arxiv created 1998/06/18 · openalex publication_date 1999/02/01 · arxiv updated 2011/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper we fill some gaps in the arguments of our previous papers [hep-th/9412229,hep-th/9604044]. 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 \bf T and \bf Q operators and a proof of the basic analyticity assumptions for these operators used in [hep-th/9412229,hep-th/9604044].

Citations

• Quantum Inverse Scattering Method and Correlation Functions
• Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. I. Some fundamental eigenvectors
• Infinite conformal symmetry in two-dimensional quantum field theory

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