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

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.
Authors:
 [1] ;  [2] ;  [3] ;  [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)
Publication Date:
OSTI Identifier:
22479638
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 57; Journal Issue: 2; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MATHEMATICAL SOLUTIONS; SIGMA MODEL; SUPERSYMMETRY