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

Abstract

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.

Authors:
 [1];  [1];  [2];  [3];  [4]
  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)
Publication Date:
OSTI Identifier:
22403114
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 2; Other Information: (c) 2015 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; SURFACES

Citation Formats

Delisle, L., E-mail: delisle@dms.umontreal.ca, Hussin, V., E-mail: hussin@dms.umontreal.ca, Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, Succ. Centre-ville, Montréal, Québec H3C 3J7, Yurduşen, İ., E-mail: yurdusen@hacettepe.edu.tr, and Zakrzewski, W. J., E-mail: w.j.zakrzewski@durham.ac.uk. Constant curvature surfaces of the supersymmetric ℂP{sup N−1} sigma model. United States: N. p., 2015. Web. doi:10.1063/1.4907868.
Delisle, L., E-mail: delisle@dms.umontreal.ca, Hussin, V., E-mail: hussin@dms.umontreal.ca, Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, Succ. Centre-ville, Montréal, Québec H3C 3J7, Yurduşen, İ., E-mail: yurdusen@hacettepe.edu.tr, & Zakrzewski, W. J., E-mail: w.j.zakrzewski@durham.ac.uk. Constant curvature surfaces of the supersymmetric ℂP{sup N−1} sigma model. United States. doi:10.1063/1.4907868.
Delisle, L., E-mail: delisle@dms.umontreal.ca, Hussin, V., E-mail: hussin@dms.umontreal.ca, Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, Succ. Centre-ville, Montréal, Québec H3C 3J7, Yurduşen, İ., E-mail: yurdusen@hacettepe.edu.tr, and Zakrzewski, W. J., E-mail: w.j.zakrzewski@durham.ac.uk. Sun . "Constant curvature surfaces of the supersymmetric ℂP{sup N−1} sigma model". United States. doi:10.1063/1.4907868.
@article{osti_22403114,
title = {Constant curvature surfaces of the supersymmetric ℂP{sup N−1} sigma model},
author = {Delisle, L., E-mail: delisle@dms.umontreal.ca and Hussin, V., E-mail: hussin@dms.umontreal.ca and Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, Succ. Centre-ville, Montréal, Québec H3C 3J7 and Yurduşen, İ., E-mail: yurdusen@hacettepe.edu.tr and Zakrzewski, W. J., E-mail: w.j.zakrzewski@durham.ac.uk},
abstractNote = {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.},
doi = {10.1063/1.4907868},
journal = {Journal of Mathematical Physics},
number = 2,
volume = 56,
place = {United States},
year = {Sun Feb 15 00:00:00 EST 2015},
month = {Sun Feb 15 00:00:00 EST 2015}
}