Anti-self dual solutions of the Yang-Mills equations in 4n dimensions

Journal Article · Thu Jul 30 00:00:00 EDT 1992 · Modern Physics Letters A; (Singapore)

DOI:https://doi.org/10.1142/S0217732392001816· OSTI ID:7109950

Popov, A D ^[1]

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1. Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Theoretical Physics

In this paper the anti-self-duality equations for gauge fields in d = 4 and a generalization of these equations to dimension d = 4n are considered. For gauge fields with values in an arbitrary semisimple Lie algebra G we introduce the ansatz which reduces the anti-self-duality equation in the Euclidean space R{sup 4n} to a system of equations breaking up into the well known Nahm's equations and some linear equations for scalar field {var phi}.

• OSTI ID: 7109950
• Journal Information: Modern Physics Letters A; (Singapore), Vol. 7:23; ISSN 0217-7323
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
YANG-MILLS THEORY
GAUGE INVARIANCE
ALGEBRA
EQUATIONS
EUCLIDEAN SPACE
FOUR-DIMENSIONAL CALCULATIONS
LIE GROUPS
SCALAR FIELDS
INVARIANCE PRINCIPLES
MATHEMATICAL SPACE
MATHEMATICS
RIEMANN SPACE
SPACE
SYMMETRY GROUPS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
662120 - General Theory of Particles & Fields- Symmetry
Conservation Laws
Currents & Their Properties- (1992-)