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

E K Loginov 2004 J. Phys. A: Math. Gen. 37 6599-6604   doi: 10.1088/0305-4470/37/25/012  Help

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E K Loginov
Physics Department, Ivanovo State University, Ermaka St. 39, Ivanovo, 153025, Russia
E-mail: loginov@ivanovo.ac.ru

Abstract. 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 number: 04.50.-h

Mathematics Subject Classification: 17B81

Print publication: Issue 25 (25 June 2004)
Received 12 March 2004
Published 9 June 2004

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