Diffeomorphism algebras and the Nahm and Ward equations

Chakravarty, S.; Kent, Steven L.; Newman, E.T.

doi:10.1063/1.529918

Diffeomorphism algebras and the Nahm and Ward equations

S. Chakravarty
(
- Colorado U.
)
,
Steven L. Kent
(
- Youngstown State U.
)
,
E.T. Newman
(
- Pittsburgh U.
)

1992

6 pages

Published in:

J.Math.Phys. 33 (1992) 382-387

DOI:

10.1063/1.529918

View in:

reference search11 citations

Citations per year

Abstract: (AIP)

The question is investigated as to what equations arise from the reduction of the anti‐self‐dual Yang–Mills equations by the imposition of three (space‐time) translational symmetries and by the choice of the connection coefficients having values in the infinite‐dimensional Lie algebras associated with one‐ and two‐dimensional diffeomorphism groups on one‐ and two‐dimensional auxiliary manifolds. Special cases of this reduction yield the incompressible Euler equations for fluid flow in two spatial dimensions, the membrane equations in 4+1 dimensions, the continuous version of the Heisenberg spin‐chain equations for antiferromagnets, as well as the Toda lattice and Liouville equations.

field equations: Yang-Mills
duality
dimension: 1
transformation: diffeomorphism

References(0)

Figures(0)

0 References