Integrability of the chiral equations with torsion term
- 1 November 1988
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 1 (4) , 671-679
- https://doi.org/10.1088/0951-7715/1/4/009
Abstract
The chiral equation, for maps into a non-Abelian group, is only integrable in two-dimensional spacetime. If, however, one adds a torsion term, then integrability in higher dimensions can be achieved. But the Painleve test indicates that dimension four is as far as one can go.Keywords
This publication has 15 references indexed in Scilit:
- Non-linear multi-plane wave solutions of self-dual Yang-Mills theoryCommunications in Mathematical Physics, 1988
- Soliton solutions in an integrable chiral model in 2+1 dimensionsJournal of Mathematical Physics, 1988
- Twisted chiral models with Wess-Zumino terms, and stringsNuclear Physics B, 1987
- Twistor-like transform in ten dimensionsNuclear Physics B, 1986
- Torsion and geometrostasis in nonlinear sigma modelsNuclear Physics B, 1985
- Slowly-moving lumps in the CP1 model in (2 + 1) dimensionsPhysics Letters B, 1985
- Non-abelian bosonization in two dimensionsCommunications in Mathematical Physics, 1984
- The Painlevé property for partial differential equationsJournal of Mathematical Physics, 1983
- On the Lagrangian theory of anti-self-dual fields in four-dimensional euclidean spaceCommunications in Mathematical Physics, 1980
- Condition of Self-Duality for SU(2) Gauge Fields on Euclidean Four-Dimensional SpacePhysical Review Letters, 1977