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Self-dual Yang–Mills fields in pseudo-Euclidean spaces

E K Loginov

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The self-duality Yang–Mills equations in pseudo-Euclidean spaces of dimensions d ≤ 8 are investigated. New classes of solutions of the equations are found. Extended solutions to the D = 10, N = 1 supergravity and super Yang–Mills equations are constructed from these solutions.


PACS

11.15.-q Gauge field theories

04.65.+e Supergravity

MSC

81T60 Supersymmetric field theories

83E50 Supergravity

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

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 25 (25 June 2004)

Received 12 March 2004

Published 9 June 2004



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