Published 1985 | Version v1
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The connection between the self-dual equation in the J formulation and the ADHM construction

Description

The paper attempts to point out the connection between the self-dual equation in the formulation due to Yang, Belavin and Zakharov and the Atiyah-Drinfeld-Hitchin-Manin construction. The linear equations due to Belavin and Zakharov are interpreted as equations for a gauge transformation to a holomorphic basis. Utilizing this fact we are able to obtain solutions of the J equation directly from the ADHM construction. The conformal invariance of the J equation is discussed. As an example 2-instanton solutions are constructed

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Additional details

Publishing Information

Imprint Pagination
9 p.
Report number
JINR-E--5-85-624

INIS

Country of Publication
USSR
Country of Input or Organization
USSR
INIS RN
17055878
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CONFORMAL INVARIANCE; FIELD EQUATIONS; GAUGE INVARIANCE; INSTANTONS; YANG-MILLS THEORY
Descriptors DEC
EQUATIONS; INVARIANCE PRINCIPLES; QUASI PARTICLES

Optional Information

Notes
12 refs.