Published February 2016
| Version v1
Journal article
General solutions of the supersymmetric ℂP2 sigma model and its generalisation to ℂPN−1
Creators
- 1. Institut de Mathématiques de Jussieu-Paris Rive Gauche, UP7D-Campus des Grands Moulins, Bâtiment Sophie Germain, Cases 7012, 75205 Paris Cedex 13 (France)
- 2. Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, Succ. Centre-ville, Montréal, Québec H3C 3J7 (Canada)
- 3. Département de Mathématiques et de Statistique, Université de Montréal, C.P. 6128, Succ. Centre-ville, Montréal, Québec H3C 3J7 (Canada)
- 4. Department of Mathematical Sciences, University of Durham, Durham DH1 3LE (United Kingdom)
Description
A new approach for the construction of finite action solutions of the supersymmetric ℂPN−1 sigma model is presented. We show that this approach produces more non-holomorphic solutions than those obtained in previous approaches. We study the ℂP2 model in detail and present its solutions in an explicit form. We also show how to generalise this construction to N > 3
Additional details
Identifiers
- DOI
- 10.1063/1.4940209;
- arXiv
- arXiv:1507.08508v1;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 57
- Journal Issue
- 2
- Journal Page Range
- p. 023506-023506.14
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 47049532
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- MATHEMATICAL SOLUTIONS; SIGMA MODEL; SUPERSYMMETRY
- Descriptors DEC
- BOSON-EXCHANGE MODELS; MATHEMATICAL MODELS; PARTICLE MODELS; PERIPHERAL MODELS; SYMMETRY
Optional Information
- Notes
- (c) 2016 AIP Publishing LLC