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Null Killing vectors and reductions of the self-duality equations

J Tafel-+ and D Wójcik++

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Recommended by N Manton

We find all null conformal Killing vectors in with the metric . We classify one and two-dimensional totally null algebras generated by such vectors. Reductions of the self-dual Yang-Mills equations are obtained for gauge fields invariant with respect to these algebras.

PACS Numbers: 0210, 1130


PACS

02.10.-v Logic, set theory, and algebra

11.15.-q Gauge field theories

02.30.Jr Partial differential equations

02.20.Sv Lie algebras of Lie groups

MSC

81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)

17B66 Lie algebras of vector fields and related (super) algebras

22E60 Lie algebras of Lie groups (For the algebraic theory of Lie algebras, see 17Bxx)

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 4 (July 1998)

Received 9 September 1997, in final form 5 February 1998



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