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Title: Supersymmetric Q-lumps in the Grassmannian nonlinear sigma models

Abstract

We construct the N=2 supersymmetric Grassmannian nonlinear sigma model for the massless case and extend it to a massive N=2 model by adding an appropriate superpotential. We then study their Bogomol'nyi-Prasad-Sommerfield (BPS) equations leading to supersymmetric Q-lumps carrying both topological and Noether charges. These solutions are shown to be always time dependent even sometimes involving multiple frequencies. Thus we illustrate explicitly that the time dependence is consistent with remaining supersymmetries of solitons.

Authors:
;  [1]; ;  [2]
  1. Department of Physics, University of Seoul, Seoul 130-743 (Korea, Republic of)
  2. Department of Physics and Institute of Basic Science, Sungkyunkwan University, Suwon 440-746 (Korea, Republic of)
Publication Date:
OSTI Identifier:
21010917
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.75.025004; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; POTENTIALS; QUANTUM FIELD THEORY; SIGMA MODEL; SOLITONS; SUPERSYMMETRY; TIME DEPENDENCE; TOPOLOGY

Citation Formats

Bak, Dongsu, Lee, Joohan, Hahn, Sang-Ok, and Oh, Phillial. Supersymmetric Q-lumps in the Grassmannian nonlinear sigma models. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.025004.
Bak, Dongsu, Lee, Joohan, Hahn, Sang-Ok, & Oh, Phillial. Supersymmetric Q-lumps in the Grassmannian nonlinear sigma models. United States. doi:10.1103/PHYSREVD.75.025004.
Bak, Dongsu, Lee, Joohan, Hahn, Sang-Ok, and Oh, Phillial. Mon . "Supersymmetric Q-lumps in the Grassmannian nonlinear sigma models". United States. doi:10.1103/PHYSREVD.75.025004.
@article{osti_21010917,
title = {Supersymmetric Q-lumps in the Grassmannian nonlinear sigma models},
author = {Bak, Dongsu and Lee, Joohan and Hahn, Sang-Ok and Oh, Phillial},
abstractNote = {We construct the N=2 supersymmetric Grassmannian nonlinear sigma model for the massless case and extend it to a massive N=2 model by adding an appropriate superpotential. We then study their Bogomol'nyi-Prasad-Sommerfield (BPS) equations leading to supersymmetric Q-lumps carrying both topological and Noether charges. These solutions are shown to be always time dependent even sometimes involving multiple frequencies. Thus we illustrate explicitly that the time dependence is consistent with remaining supersymmetries of solitons.},
doi = {10.1103/PHYSREVD.75.025004},
journal = {Physical Review. D, Particles Fields},
number = 2,
volume = 75,
place = {United States},
year = {Mon Jan 15 00:00:00 EST 2007},
month = {Mon Jan 15 00:00:00 EST 2007}
}
  • A fairly wide class of classical solutions of the Euclidean two-dimensional Grassmannian and CP/sup N/-1 sigma models has been constructed explicitly and elementarily by the present author. Starting from these classical solutions we derive the explicit forms of the Baecklund transformations following Harnad et al. Properties of the Baecklund transformations for the Grassmannian models are discussed. In particular, a simple interpretation of the Baecklund transformations for the CP/sup N/-1 model is obtained. Generalization of these results to the noncompact Grassmannian sigma models is straightforward.
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