scholarly journals Integrable structure of conformal field theory, quantum KdV theory and Thermodynamic Bethe Ansatz

1996 ◽  
Vol 177 (2) ◽  
pp. 381-398 ◽  
Author(s):  
Vladimir V. Bazhanov ◽  
Sergei L. Lukyanov ◽  
Alexander B. Zamolodchikov
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Bethe Ansatz ◽  
Thermodynamic Bethe Ansatz ◽  
Integrable Structure ◽  
Conformal Field

scholarly journals Integrable structure of BCD conformal field theory and boundary Bethe ansatz for affine Yangian

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Alexey Litvinov ◽  
Ilya Vilkoviskiy
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Bethe Ansatz ◽  
Spin Chains ◽  
Unified Approach ◽  
Three Solutions ◽  
Integrable Structure ◽  
Conformal Field

Abstract In these notes we study integrable structures of conformal field theory with BCD symmetry. We realise these integrable structures as $$ \mathfrak{gl} $$ gl (1) affine Yangian “spin chains” with boundaries. We provide three solutions of Sklyanin KRKR equation compatible with the affine Yangian R-matrix and derive Bethe ansatz equations for the spectrum. Our analysis provides a unified approach to the integrable structures with BCD symmetry including superalgebras.

scholarly journals Integrable Structure of Conformal Field Theory II. Q-operator and DDV equation

1997 ◽  
Vol 190 (2) ◽  
pp. 247-278 ◽  
Author(s):  
Vladimir V. Bazhanov ◽  
Sergei L. Lukyanov ◽  
Alexander B. Zamolodchikov
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Integrable Structure ◽  
Conformal Field

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

1999 ◽  
Vol 200 (2) ◽  
pp. 297-324 ◽  
Author(s):  
Vladimir V. Bazhanov ◽  
Sergei L. Lukyanov ◽  
Alexander B. Zamolodchikov
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Integrable Structure ◽  
Conformal Field

scholarly journals MASSIVE-CONFORMAL DICTIONARY

1994 ◽  
Vol 09 (32) ◽  
pp. 5753-5767 ◽  
Author(s):  
EZER MELZER
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Bethe Ansatz ◽  
Finite Volume ◽  
Energy Levels ◽  
Infinite Volume ◽  
Minimal Models ◽  
Combinatorial Interpretation ◽  
Conformal Field ◽  
Quantum Numbers

The finite-volume spectrum of an integrable massive perturbation of a rational conformal field theory interpolates between massive multiparticle states in infinite-volume (IR limit) and conformal states, which are approached at zero volume (UV limit). Each state is labeled in the IR by a set of “Bethe-ansatz quantum numbers,” while in the UV limit it is characterized primarily by the conformal dimensions of the conformal field creating it. We present explicit conjectures for the UV conformal dimensions corresponding to any IR state in the ϕ1, 3-perturbed minimal models ℳ(2, 5) and ℳ(3, 5). The conjectures, which are based on a combinatorial interpretation of the Rogers-Ramanujan-Schur identities, are consistent with numerical results obtained previously for low-lying energy levels.

scholarly journals Integrable structure of Conformal Field Theory, Quantum Boussinesq Theory and Boundary Affine Toda Theory

2002 ◽  
Vol 622 (3) ◽  
pp. 475-547 ◽  
Author(s):  
Vladimir V. Bazhanov ◽  
Anthony N. Hibberd ◽  
Sergey M. Khoroshkin
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Integrable Structure ◽  
Conformal Field

scholarly journals Liouville reflection operator, affine Yangian and Bethe ansatz

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Alexey Litvinov ◽  
Ilya Vilkoviskiy
Keyword(s):  
Field Theory ◽  
Bethe Ansatz ◽  
Transfer Matrices ◽  
Reflection Operator ◽  
Integrable Structure ◽  
Conformal Field ◽  
Long Wave ◽  
The Family ◽  
Commuting Transfer Matrices ◽  
The One

Abstract In these notes we study integrable structure of conformal field theory by means of Liouville reflection operator/Maulik Okounkov R-matrix. We discuss relation between RLL and current realization of the affine Yangian of $$ \mathfrak{gl}(1) $$ gl 1 . We construct the family of commuting transfer matrices related to the Intermediate Long Wave hierarchy and derive Bethe ansatz equations for their spectra discovered by Nekrasov and Okounkov and independently by one of the authors. Our derivation mostly follows the one by Feigin, Jimbo, Miwa and Mukhin, but is adapted to the conformal case.

scholarly journals SPECTRA IN CONFORMAL FIELD THEORIES FROM THE ROGERS DILOGARITHM

1992 ◽  
Vol 07 (37) ◽  
pp. 3487-3494 ◽  
Author(s):  
A. KUNIBA ◽  
T. NAKANISHI
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Bethe Ansatz ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Universal Form ◽  
Conformal Field ◽  
Functional Relations ◽  
Sum Formula ◽  
Dilogarithm Function

We propose a system of functional relations having a universal form connected to the [Formula: see text] Bethe ansatz equation. Based on the analysis of it, we conjecture a new sum formula for the Rogers dilogarithm function in terms of the scaling dimensions of the [Formula: see text] parafermion conformal field theory.

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