Constant curvature surfaces of the supersymmetric ℂP{sup N−1} sigma model

Journal Article · Sun Feb 15 00:00:00 EST 2015 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4907868· OSTI ID:22403114

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

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1. Département de Mathématiques et de Statistique, Université de Montréal, C.P. 6128, Succ. Centre-ville, Montréal, Québec H3C 3J7 (Canada)
2. (Canada)
3. Department of Mathematics, Hacettepe University, 06800 Beytepe, Ankara (Turkey)
4. Department of Mathematical Sciences, University of Durham, Durham DH1 3LE,United Kingdom (United Kingdom)

Constant curvature surfaces are constructed from the finite action solutions of the supersymmetric ℂP{sup N−1} sigma model. It is shown that there is a unique holomorphic solution which leads to constant curvature surfaces: the generalized Veronese curve. We give a general criterion to construct non-holomorphic solutions of the model. We extend our analysis to general supersymmetric Grassmannian models.

• OSTI ID: 22403114
• Journal Information: Journal of Mathematical Physics, Vol. 56, Issue 2; Other Information: (c) 2015 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
SURFACES