Seiberg-Witten equations in R{sup 4}: Lie symmetries, particular solutions, integrability

Journal Article · Fri Jul 01 04:00:00 EDT 2005 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.1947121· OSTI ID:20699231

Aleynikov, Dmitriy V ^[1]

---

1. B.I. Stepanov Institute of Physics, National Academy of Sciences of Belarus, 68 F. Skaryna Avenue, 220072 Minsk (Belarus)

It is shown that the 11-parameter automorphism group of Lie algebra of four-dimensional Euclidean group is a maximal Lie symmetries group of the Seiberg-Witten equations in R{sup 4}. Particular explicit solutions which are invariant under SO(3) subgroups of the maximal Lie symmetries group are constructed. It is established that Seiberg-Witten equations do not possess the Painleve property. Nevertheless, SO(3) invariant solutions obtained are turned to admit a characteristic singularity structure.

• OSTI ID: 20699231
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 7 Vol. 46; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EQUATIONS
EUCLIDEAN SPACE
FOUR-DIMENSIONAL CALCULATIONS
MATHEMATICAL SOLUTIONS
SINGULARITY
SO-3 GROUPS
SYMMETRY
YANG-MILLS THEORY