Published November 11, 2009
| Version v1
Journal article
Boundary Lax pairs for the An(1) Toda field theories
Creators
- 1. LPTM, Universite de Cergy-Pontoise (CNRS UMR 8089), Saint-Martin 2, 2 avenue Adolphe Chauvin, F-95302 Cergy-Pontoise Cedex (France)
- 2. University of Patras, Department of Engineering Sciences, GR-26500 Patras (Greece)
Description
Based on the recent formulation of a general scheme to construct boundary Lax pairs, we develop this systematic construction for the An(1) affine Toda field theories (ATFT). We work out explicitly the first two models of the hierarchy, i.e. the sine-Gordon (A1(1)) and the A2(1) models. The A2(1) Toda theory is the first non-trivial example of the hierarchy that exhibits two distinct types of boundary conditions. We provide here novel expressions of boundary Lax pairs associated to both types of boundary conditions.
Availability note (English)
Available from http://dx.doi.org/10.1016/j.nuclphysb.2009.05.010Additional details
Identifiers
- DOI
- 10.1016/j.nuclphysb.2009.05.010;
- arXiv
- arXiv:0809.2734v3;
- PII
- S0550-3213(09)00273-9;
Publishing Information
- Journal Title
- Nuclear Physics. B
- Journal Volume
- 821
- Journal Issue
- 3
- Journal Page Range
- p. 481-505
- ISSN
- 0550-3213
- CODEN
- NUPBBO
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41059424
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- BOUNDARY CONDITIONS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; QUANTUM FIELD THEORY; SINE-GORDON EQUATION
- Descriptors DEC
- EQUATIONS; FIELD EQUATIONS; FIELD THEORIES
Optional Information
- Copyright
- Copyright (c) 2009 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.