Sigma-Model Solitons in the Noncommutative Plane: Construction and Stability Analysis | Zendy

A. V. Domrin | Zendy; Olaf Lechtenfeld | Zendy; Stefan Petersen | Zendy

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Sigma-Model Solitons in the Noncommutative Plane: Construction and Stability Analysis

Author(s) -

A. V. Domrin,

Olaf Lechtenfeld,

Stefan Petersen

Publication year - 2005

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2005/03/045

Subject(s) - noncommutative geometry , grassmannian , fock space , sigma model , moduli space , diagonal , mathematical physics , soliton , formalism (music) , eigenvalues and eigenvectors , physics , sigma , spinor , mathematics , quantum mechanics , pure mathematics , geometry , nonlinear system , art , musical , visual arts

Noncommutative multi-solitons are investigated in Euclidean two-dimensionalU(n) and Grassmannian sigma models, using the auxiliary Fock-space formalism.Their construction and moduli spaces are reviewed in some detail, unifyingabelian and nonabelian configurations. The analysis of linear perturbationsaround these backgrounds reveals an unstable mode for the U(n) models but showsstability for the Grassmannian case. For multi-solitons which are diagonal inthe Fock-space basis we explicitly evaluate the spectrum of the Hessian andidentify all zero modes. It is very suggestive but remains to be proven thatour results qualitatively extend to the entire multi-soliton moduli space.Comment: 1+33 pages, 5 eps figures; v2: references added, some notational changes and minor correction

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