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 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, 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

A Review of Conformal Field Theory in 2D

2014 ◽  
Vol 6 (2) ◽  
pp. 1079-1105
Author(s):  
Rahul Nigam
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Conformal Field Theory ◽  
Statistical Mechanics ◽  
Critical Behavior ◽  
Verma Module ◽  
Virasoro Algebra ◽  
Quantum Field ◽  
Conformal Field ◽  
Insight Into

In this review we study the elementary structure of Conformal Field Theory in which is a recipe for further studies of critical behavior of various systems in statistical mechanics and quantum field theory. We briefly review CFT in dimensions which plays a prominent role for example in the well-known duality AdS/CFT in string theory where the CFT lives on the AdS boundary. We also describe the mapping of the theory from the cylinder to a complex plane which will help us gain an insight into the process of radial quantization and radial ordering. Finally we will develop the representation of the Virasoro algebra which is the well-known "Verma module".  

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