G Arsenault and Y Saint-Aubin 1989 Nonlinearity 2 571 doi:10.1088/0951-7715/2/4/005
The hidden symmetry of U(n) principal sigma models revisited. I. Explicit expressions for the generators
G Arsenault and Y Saint-Aubin
Show affiliationsUhlenbeck (1989) recently unravelled the structure of the finite action solutions of the Euclidean two-dimensional unitary sigma models (harmonic maps in the unitary group). Following her study, Wood (1989) showed that any such solution can be factorised in a unique way in terms of basic unitons. Using their results, the authors study the action on this nonlinear sigma model of the infinite-dimensional algebra discovered in the early 1980s by several people (Dolan (1981), Devchand and Fairlie (1982), Ge and Wu (1982), Ueno and Nakamura (1982)). On the finite action solutions, the algebra turns out to be finite dimensional. Moreover, constructing Wood's unique factorisation of the new solution (g+ delta g), they provide explicit expressions for the action of the generators on each uniton factor.
- PACS
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11.10.Lm Nonlinear or nonlocal theories and models
02.20.Qs General properties, structure, and representation of Lie groups
- MSC
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53C43 Differential geometric aspects of harmonic maps (See also 58E20)
- Subjects
- Dates
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Issue 4 (November 1989)
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The hidden symmetry of U(n) principal sigma models revisited. I. Explicit expressions for the generators
G Arsenault and Y Saint-Aubin 1989 Nonlinearity 2 571
-
Theoretical studies of a hydrogen abstraction tool for nanotechnology
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Particle detectors in the presence of boundaries
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The TOTEM Experiment at the CERN Large Hadron Collider
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Vijay Kumar and Washington Taylor JHEP12(2009)050
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Author index with titles
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Autocompensating quantum cryptography
Donald S Bethune and William P Risk 2002 New J. Phys. 4 42
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First-principles alloy theory in oxides
G Ceder et al 2000 Modelling Simul. Mater. Sci. Eng. 8 311
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