Non-anticommutative solitons

Sergei V. Ketov, Olaf Lechtenfeld

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Certain supersymmetric sigma models in 2 + 1 dimensions feature multi-soliton solutions, with and without scattering. We subject these systems to a non-anticommutative deformation by replacing the Grassmann algebra of the odd superspace coordinates with a Clifford algebra. Static C P1 and scattering U(2) solitons are constructed and carry an additional spin-1/2 degree of freedom due to the deformation. Abelian BPS solutions exist as well but have infinite action, in contrast to the Moyal case.

Original languageEnglish
Pages (from-to)353-359
Number of pages7
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume663
Issue number4
DOIs
Publication statusPublished - 29 May 2008

Fingerprint

solitary waves
vector spaces
scattering
algebra
degrees of freedom

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Non-anticommutative solitons. / Ketov, Sergei V.; Lechtenfeld, Olaf.

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 663, No. 4, 29.05.2008, p. 353-359.

Research output: Contribution to journalArticle

@article{8365cc886090474f8a8ce0e45b8dd88f,
title = "Non-anticommutative solitons",
abstract = "Certain supersymmetric sigma models in 2 + 1 dimensions feature multi-soliton solutions, with and without scattering. We subject these systems to a non-anticommutative deformation by replacing the Grassmann algebra of the odd superspace coordinates with a Clifford algebra. Static C P1 and scattering U(2) solitons are constructed and carry an additional spin-1/2 degree of freedom due to the deformation. Abelian BPS solutions exist as well but have infinite action, in contrast to the Moyal case.",
author = "Ketov, {Sergei V.} and Olaf Lechtenfeld",
year = "2008",
month = "5",
day = "29",
doi = "10.1016/j.physletb.2008.04.045",
language = "English",
volume = "663",
pages = "353--359",
journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",
issn = "0370-2693",
publisher = "Elsevier",
number = "4",

}

TY - JOUR

T1 - Non-anticommutative solitons

AU - Ketov, Sergei V.

AU - Lechtenfeld, Olaf

PY - 2008/5/29

Y1 - 2008/5/29

N2 - Certain supersymmetric sigma models in 2 + 1 dimensions feature multi-soliton solutions, with and without scattering. We subject these systems to a non-anticommutative deformation by replacing the Grassmann algebra of the odd superspace coordinates with a Clifford algebra. Static C P1 and scattering U(2) solitons are constructed and carry an additional spin-1/2 degree of freedom due to the deformation. Abelian BPS solutions exist as well but have infinite action, in contrast to the Moyal case.

AB - Certain supersymmetric sigma models in 2 + 1 dimensions feature multi-soliton solutions, with and without scattering. We subject these systems to a non-anticommutative deformation by replacing the Grassmann algebra of the odd superspace coordinates with a Clifford algebra. Static C P1 and scattering U(2) solitons are constructed and carry an additional spin-1/2 degree of freedom due to the deformation. Abelian BPS solutions exist as well but have infinite action, in contrast to the Moyal case.

UR - http://www.scopus.com/inward/record.url?scp=43049173604&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=43049173604&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2008.04.045

DO - 10.1016/j.physletb.2008.04.045

M3 - Article

VL - 663

SP - 353

EP - 359

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 4

ER -