Affine Toda field theory on a half line

Abstract

The question of the integrability of real-coupling affine toda field theory on a half-line is addressed. It is found, by examining low-spin conserved charges, that the boundary conditions preserving integrability are strongly constrained. In particular, for the $a_n(n>1)$ series of models there can be no free parameters introduced by the boundary condition; indeed the only remaining freedom (apart from choosing the simple condition ${\partial }_1\varphi =0$), resides in a choice of signs. For a special case of the boundary condition, it is argued that the classical boundary bound state spectrum is closely related to a consistent set of reflection factors in the quantum field theory.

16 pages, TEX (harvmac), DTP-94/7, YITP/U-94-11

References in corpus (8)

• Factorized Scattering in the Presence of Reflecting Boundaries
• Exact S-Matrices for Nonsimply-Laced Affine Toda Theories
• Affine Toda Field Theory in the Presence of Reflecting Boundaries
• Root Systems and Purely Elastic S-Matrices II
• On a generalised bootstrap principle
• Reflection Bootstrap Equations for Toda Field Theory
• Quantum Conserved Currents in Affine Toda Theories
• The Quantum Spectrum of the Conserved Charges in Affine Toda Theories

Cited by in corpus (81)

• Boundary Conditions in Rational Conformal Field Theories
• Classically integrable boundary conditions for affine Toda field theories
• Integrable structure of W_3 Conformal Field Theory, Quantum Boussinesq Theory and Boundary Affine Toda Theory
• Scattering Theory and Correlation Functions in Statistical Models with a Line of Defect
• XXZ chain with a boundary
• Supersymmetry in Boundary Integrable Models
• Integrable XYZ Spin Chain with Boundaries
• Correlation functions of the open XXZ chain I
• Classically integrable field theories with defects
• Affine Toda field theories with defects
• The boundary sine-Gordon theory: classical and semi-classical analysis
• Aspects of affine Toda field theory on a half line
• On purely transmitting defects in affine Toda field theory
• Supersymmetric extension of the sine-Gordon theory with integrable boundary interactions
• Generalisations of the Coleman-Thun mechanism and boundary reflection factors
• Reflection factors and a two-parameter family of boundary bound states in the sinh-Gordon model
• On duality and reflection factors for the sinh-Gordon model
• Direct Calculation of the Boundary $S$ Matrix for the Open Heisenberg Chain
• From affine Hecke algebras to boundary symmetries
• Reflection K-Matrices of the 19-Vertex Model and XXZ Spin-1 Chain with General Boundary Terms
• Fusion Hierarchy and Finite-Size Corrections of $U_q[sl(2)]$ Invariant Vertex Models with Open Boundaries
• Set theoretic Yang-Baxter & reflection equations and quantum group symmetries
• Exact diagonalization of the quantum supersymmetric $S{U}_q(n|m)$ model
• Boundary Reflection Matrix in Perturbative Quantum Field Theory
• Coupling integrable field theories to mechanical systems at the boundary
• Particle Reflection Amplitudes in a_n^(1) Toda Field Theories
• Reflection factors and exact g-functions for purely elastic scattering theories
• Integrable boundary conditions for classical sine-Gordon theory
• On a_2^(1) Reflection Matrices and Affine Toda Theories
• Quantum integrability in two-dimensional systems with boundary
• Higher Grading Generalisations of the Toda Systems
• Soliton-preserving boundary condition in affine Toda field theories
• Quantum mass corrections for affine Toda solitons
• Classical integrability of the O(N) nonlinear Sigma model on a half-line
• Exact diagonalization of the generalized supersymmetric t-J model with boundaries
• Background field boundary conditions for affine Toda field theories
• Boundary breathers in the sinh-Gordon model
• Thermodynamic Bethe Ansatz for boundary sine-Gordon model
• Quantum corrections to the classical reflection factor in A2(1) Toda Field Theory
• Generalized q-Onsager algebras and boundary affine Toda field theories
• $A_n^{(1)}$ affine Toda field theories with integrable boundary conditions revisited
• Generalized q-Onsager Algebras and Dynamical K-matrices
• Form factors of boundary fields for A(2)-affine Toda field theory
• Classical Versus Quantum Symmetries for Toda Theories with a Nontrivial Boundary Perturbation
• Fusion of SO(N) reflection matrices
• Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors
• Jumps and twists in affine Toda field theories
• A Collection of Exercises in Two-Dimensional Physics, Part 1
• Boundary Symmetry Breaking in CFT and the String Order Parameter
• The Kondo Model with a Bulk Mass Term
• Infinite dimension reflection matrices in the sine-Gordon model with a boundary
• Boundary Reflection Matrix for $ade$ Affine Toda Field Theory
• Reflection Amplitudes of Boundary Toda Theories and Thermodynamic Bethe Ansatz
• Boundary One-Point Functions, Scattering Theory and Vacuum Solutions in Integrable Systems
• Generalized Landau-Lifshitz models on the interval
• Integrable Four-Fermi Models with a Boundary and Boson-Fermion Duality
• Universal boundary reflection amplitudes
• Algebraic Bethe ansatz for the supersymmetric $t-J$ model with reflecting boundary conditions
• Integrable field theory with boundary conditions
• The SO(N) principal chiral field on a half-line
• Integrable models with boundaries and defects
• Quantum anomalies in A^{(1)}_r Toda theories with defects
• Toda theories as contraction of affine Toda theories
• On the quantum reflection factor for the sinh-Gordon model with general boundary conditions
• Boundary bootstrap principle in two-dimensional integrable quantum field theories
• Quantum boundary currents for nonsimply-laced Toda theories
• Boundary Reflection Matrix for $D_4^{(1)}$ Affine Toda Field Theory
• Aspects of classical backgrounds and scattering for affine Toda theory on a half-line
• Monte Carlo study of exact S-matrix duality in non simply laced affine Toda theories
• First order quantum corrections to the classical reflection factor of the sinh-Gordon model
• Square Root Singularity in Boundary Reflection Matrix
• Second order quantum corrections to the classical reflection factor of the sinh-Gordon model
• On the elliptic sinh-Gordon equation with Durham boundary conditions
• Boundary entropy of integrable perturbed $SU(2{)}_k$ WZNW
• Scattering matrices in the sl(3) twisted Yangian
• Factorization in integrable systems with impurity
• Boundary effects in two-dimensional critical and off-critical systems
• Selected Topics in Classical Integrability
• Toda Lattice Models with Boundary
• Linearizable Initial-Boundary Value Problems for the sine-Gordon Equation on the Half-Line
• A diagrammatic approach towards the thermodynamics of integrable systems