Published October 21, 2005
| Version v1
Journal article
Supersymmetry for integrable hierarchies on loop superalgebras
- 1. Department of Physics, University of Illinois at Chicago, 845 W. Taylor St., Chicago, IL 60607-7059 (United States)
- 2. Instituto de Fisica Teorica-UNESP, Rua Pamplona 145, 01405-900 Sao Paulo (Brazil)
Description
An algebraic approach is employed to formulate N = 2 supersymmetry transformations in the context of integrable systems based on loop superalgebras sl-hat(p+1,p) ≥ 1, with homogeneous gradation. We work with extended integrable hierarchies, which contain supersymmetric AKNS and Lund-Regge sectors. We derive the one-soliton solution for p = 1 which solves positive and negative evolution equations of the N = 2 supersymmetric model
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/9341/a5_42_012.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/38/9341/a5_42_012.pdf;
- DOI
- 10.1088/0305-4470/38/42/012;
- PII
- S0305-4470(05)04709-8;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 42
- Journal Page Range
- p. 9341-9357
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37048649
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; EQUATIONS; INTEGRAL CALCULUS; MATHEMATICAL EVOLUTION; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; SOLITONS; SUPERSYMMETRY; TRANSFORMATIONS
- Descriptors DEC
- EVOLUTION; MATHEMATICS; QUASI PARTICLES; SYMMETRY