Integration conditions for first-order differential linear equations in higher-dimensional gauge theories

1 June 1984

journal article
Published by AIP Publishing in Journal of Mathematical Physics

Vol. 25 (6) , 2025-2027
https://doi.org/10.1063/1.526398

Abstract

Generalized self-duality type relations for gauge fields in higher-dimensional spaces are discussed from the point of view of orbits, strata, and stability groups. It is explained how to obtain them as integrability conditions for first-order gauge-invariant linear differential equations.

Keywords

INTEGRABLE SYSTEM
FIRST ORDER
DIFFERENTIAL EQUATION
GAUGE INVARIANCE
GAUGE THEORY
FIELD THEORY
EQUATION OF MOTION
LINEAR EQUATIONS
LINEAR DIFFERENTIAL EQUATION
GAUGE FIELD

This publication has 2 references indexed in Scilit:

First-order equations for gauge fields in spaces of dimension greater than four
Nuclear Physics B, 1983
Yang-Mills equations as inverse scattering problem
Physics Letters B, 1978