Domain wall solitons and Hopf algebraic translational symmetries in noncommutative field theories

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dc.creatorSasai, Yuya
dc.creatorSasakura, Naoki
dc.date2007-11-20
dc.date2007-11-28
dc.date.accessioned2026-07-07T11:13:18Z
dc.date.available2026-07-07T11:13:18Z
dc.descriptionDomain wall solitons are the simplest topological objects in field theories. The conventional translational symmetry in a field theory is the generator of a one-parameter family of domain wall solutions, and induces a massless moduli field which propagates along a domain wall. We study similar issues in braided noncommutative field theories possessing Hopf algebraic translational symmetries. As a concrete example, we discuss a domain wall soliton in the scalar phi^4 braided noncommutative field theory in Lie-algebraic noncommutative spacetime, [x^i,x^j]=2i kappa epsilon^{ijk}x_k (i,j,k=1,2,3), which has a Hopf algebraic translational symmetry. We first discuss the existence of a domain wall soliton in view of Derrick's theorem, and construct explicitly a one-parameter family of solutions in perturbation of the noncommutativity parameter kappa. We then find the massless moduli field which propagates on the domain wall soliton. We further extend our analysis to the general Hopf algebraic translational symmetry.
dc.description20 pages, no figures, references added
dc.identifierhttps://arxiv.org/abs/0711.3059
dc.identifierhttp://arxiv.org/abs/0711.3059
dc.identifierPhys.Rev.D77:045033,2008
dc.identifierdoi:10.1103/PhysRevD.77.045033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191671
dc.subjectHigh Energy Physics - Theory
dc.titleDomain wall solitons and Hopf algebraic translational symmetries in noncommutative field theories
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