Integrable field theory with boundary conditions

Talks given at the workshop ``Frontiers in Quantum Field Theory'', held in Urumqi, Xinjiang Uygur Autonomous Region, People's Republic of China, 11-19 August 1996.

[1]  P. Bowcock,et al.  Classical backgrounds and scattering for affine Toda theory on a half-line , 1996, hep-th/9909174.

[2]  V. E. Adler,et al.  Boundary conditions for integrable equations , 1997 .

[3]  G. Watts,et al.  Twisted algebra R-matrices and S-matrices forbn(1) affine Toda solitons and their bound states , 1995, hep-th/9509007.

[4]  J. Kim,et al.  Square Root Singularity in Boundary Reflection Matrix , 1996 .

[5]  E. Corrigan,et al.  Background field boundary conditions for affine Toda field theories , 1995, hep-th/9510071.

[6]  N. Mackay,et al.  Exact S-matrices for d (2) n+1 affine Toda solitons and their bound states , 1995, hep-th/9506169.

[7]  J. Kim BOUNDARY REFLECTION MATRIX FOR ADE AFFINE TODA FIELD THEORY , 1995, hep-th/9506031.

[8]  N. Warner,et al.  The boundary sine-Gordon theory: Classical and semi-classical analysis , 1995 .

[9]  R. Sasaki,et al.  Boundary Effects in Integrable Field Theory on a Half Line , 1995, hep-th/9503083.

[10]  H. Saleur,et al.  Boundary bound states and boundary bootstrap in the sine-Gordon model with Dirichlet boundary conditions , 1995, hep-th/9502011.

[11]  G. M. Gandenberger Exact S-matrices for bound states of a2(1) affine Toda solitons , 1995, hep-th/9501136.

[12]  S. Penati,et al.  Quantum integrability in two-dimensional systems with boundary , 1995, hep-th/9501105.

[13]  E. Corrigan,et al.  Classically integrable boundary conditions for affine Toda field theories , 1995, hep-th/9501098.

[14]  M. Freeman Conserved charged and soliton solutions in affine Toda theory , 1994, hep-th/9408092.

[15]  A. Fring,et al.  Boundary Bound States in Affine Toda Field Theory , 1994, hep-th/9404188.

[16]  J. Kim Boundary Reflection Matrix in Perturbative Quantum Field Theory , 1995 .

[17]  J. Kim Boundary Reflection Matrix for D ( 1 ) 4 Affine Toda Field Theory , 1995 .

[18]  E. Corrigan Recent developments in affine Toda field theory , 1994, hep-th/9412213.

[19]  P. Fendley,et al.  Exact solution of a massless scalar field with a relevant boundary interaction , 1994, hep-th/9406125.

[20]  R. Sasaki,et al.  Aspects of Affine Toda Field Theory on a Half Line , 1994, hep-th/9407148.

[21]  R. Koberle,et al.  Affine Toda Field Theory in the Presence of Reflecting Boundaries , 1993, hep-th/9309142.

[22]  A. Zamolodchikov,et al.  Boundary S matrix and boundary state in two-dimensional integrable quantum field theory , 1993, hep-th/9306002.

[23]  T. Hollowood The analytic structure of trigonometric S-matrices , 1993, hep-th/9305042.

[24]  R. Koberle,et al.  Factorized scattering in the presence of reflecting boundaries , 1993, hep-th/9304141.

[25]  R. Sasaki Reflection Bootstrap Equations for Toda Field Theory , 1993, hep-th/9311027.

[26]  N. Turok,et al.  Solitons and the energy-momentum tensor for affine Toda theory , 1993 .

[27]  N. Turok,et al.  Affine Toda solitons and vertex operators , 1993, hep-th/9305160.

[28]  R. Sasaki,et al.  On a generalised bootstrap principle , 1993, hep-th/9304065.

[29]  T. Hollowood Quantum soliton mass corrections in sl( n) affine Toda field theory , 1992, hep-th/9209024.

[30]  T. Hollowood Quantizing sl(n) solitons and the Hecke algebra , 1992, hep-th/9203076.

[31]  A.Fring Couplings in Affine Toda Field Theories , 1992, hep-th/9212107.

[32]  A. Fring,et al.  The fusing rule and the scattering matrix of affine Toda theory , 1992 .

[33]  M. Grisaru,et al.  EXACT S-MATRICES FOR NONSIMPLY-LACED AFFINE TODA THEORIES , 1992, hep-th/9201067.

[34]  T. Hollowood Solitons in affine Toda field theories , 1991, hep-th/9110010.

[35]  P. Dorey Root Systems and Purely Elastic S-Matrices II , 1991, hep-th/9110058.

[36]  P. Dorey Root systems and purely elastic S-matrices , 1991 .

[37]  R. Sasaki,et al.  MULTIPLE POLES AND OTHER FEATURES OF AFFINE TODA FIELD-THEORY , 1991 .

[38]  M. Freeman On the mass spectrum of affine Toda field theory , 1991 .

[39]  P. Christe,et al.  Elastic S-matrices in (1 + 1) dimensions and Toda field theories , 1990 .

[40]  R. Sasaki,et al.  AFFINE TODA FIELD-THEORY AND EXACT S-MATRICES , 1990 .

[41]  P. Christe,et al.  Integrable systems away from critically: The Toda field theory and S-matrix of the tricritical Ising model , 1990 .

[42]  R. Sasaki,et al.  Aspects of Perturbed Conformal Field Theory, Affine Toda Field Theory and Exact S-Matrices , 1990 .

[43]  E. Sklyanin Boundary conditions for integrable quantum systems , 1988 .

[44]  N. Turok,et al.  The Toda lattice field theory hierarchies and zero-curvature conditions in Kac-Moody algebras , 1986 .

[45]  N. Turok,et al.  Local conserved densities and zero-curvature conditions for Toda lattice field theories , 1985 .

[46]  I. Cherednik Factorizing particles on a half-line and root systems , 1984 .

[47]  N. Turok,et al.  The Symmetries of Dynkin Diagrams and the Reduction of Toda Field Equations , 1983 .

[48]  G. Wilson The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras , 1981, Ergodic Theory and Dynamical Systems.

[49]  G. Lamb Elements of soliton theory , 1980 .

[50]  A. Zamolodchikov,et al.  Quantum S-matrix of the (1 + 1)-dimensional Todd chain , 1979 .

[51]  Alexander B. Zamolodchikov,et al.  Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models , 1979 .

[52]  S. Mandelstam,et al.  Soliton Operators for the Quantized Sine-Gordon Equation , 1975 .

[53]  I. Stewart,et al.  Infinite-dimensional Lie algebras , 1974 .