General solutions of the supersymmetric ℂP{sup 2} sigma model and its generalisation to ℂP{sup N−1}

Journal Article · Mon Feb 15 00:00:00 EST 2016 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4940209· OSTI ID:22479638

Delisle, L., E-mail: [e-mail] ^[1]; Hussin, V., E-mail: [e-mail] ^[2]; Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, Succ. Centre-ville, Montréal, Québec H3C 3J7 ^[3]; Zakrzewski, W. J., E-mail: [e-mail] ^[4]

---

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. Département de Mathématiques et de Statistique, Université de Montréal, C.P. 6128, Succ. Centre-ville, Montréal, Québec H3C 3J7 (Canada)
3. (Canada)
4. Department of Mathematical Sciences, University of Durham, Durham DH1 3LE (United Kingdom)

A new approach for the construction of finite action solutions of the supersymmetric ℂP{sup N−1} sigma model is presented. We show that this approach produces more non-holomorphic solutions than those obtained in previous approaches. We study the ℂP{sup 2} model in detail and present its solutions in an explicit form. We also show how to generalise this construction to N > 3.

• OSTI ID: 22479638
• Journal Information: Journal of Mathematical Physics, Vol. 57, Issue 2; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
MATHEMATICAL SOLUTIONS
SIGMA MODEL
SUPERSYMMETRY