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Phys. Rev. D 75, 025004 (2007) [6 pages]

Supersymmetric Q-lumps in the Grassmannian nonlinear sigma models

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Dongsu Bak1,*, Sang-Ok Hahn2, Joohan Lee1,†, and Phillial Oh2,‡
1Department of Physics, University of Seoul, Seoul 130-743, Korea
2Department of Physics and Institute of Basic Science, Sungkyunkwan University, Suwon 440-746, Korea

Received 17 October 2006; published 9 January 2007

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.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.75.025004
DOI:
10.1103/PhysRevD.75.025004
PACS:
11.30.Pb, 11.30.Qc, 14.80.Hv

*Electronic address: dsbak@mach.uos.ac.kr

Electronic address: joohan@kerr.uos.ac.kr

Electronic address: ploh@dirac.skku.ac.kr