skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Symmetries of the 4D self-dual Yang-Mills equation and the reduction to the 2D KdV equation

Abstract

The Lie-point and the Lie-Baecklund symmetries of 4D self-dual Yang-Mills equation are investigated as those of differential equations. The Lie-point symmetry is nothing but the gauge symmetry at the level of field equation, but the Lie-Baecklund symmetries are new. In particular, by the symmetry reduction to KdV equation in 2D the corresponding Lie-Baecklund symmetries which reduce to the isospectral symmetries or to the nonisospectral symmetries are identified. Some speculations on the existence of the self-dual Yang-Mills hierarchy as well as the derivation of the 4D analogue of the string equation of the nonperturbative 2D quantum gravity are given.

Authors:
 [1]
  1. Univ. of Pennsylvania, Philadelphia (United States)
Publication Date:
OSTI Identifier:
5197528
Resource Type:
Journal Article
Journal Name:
Annals of Physics (New York); (United States)
Additional Journal Information:
Journal Volume: 215:1; Journal ID: ISSN 0003-4916
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; YANG-MILLS THEORY; FIELD EQUATIONS; DIFFERENTIAL EQUATIONS; DIMENSIONS; LIE GROUPS; PERTURBATION THEORY; QUANTUM GRAVITY; STRING MODELS; SYMMETRY; TRANSFORMATIONS; COMPOSITE MODELS; EQUATIONS; EXTENDED PARTICLE MODEL; FIELD THEORIES; MATHEMATICAL MODELS; PARTICLE MODELS; QUANTUM FIELD THEORY; QUARK MODEL; SYMMETRY GROUPS; 662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)

Citation Formats

La, HoSeong. Symmetries of the 4D self-dual Yang-Mills equation and the reduction to the 2D KdV equation. United States: N. p., 1992. Web.
La, HoSeong. Symmetries of the 4D self-dual Yang-Mills equation and the reduction to the 2D KdV equation. United States.
La, HoSeong. 1992. "Symmetries of the 4D self-dual Yang-Mills equation and the reduction to the 2D KdV equation". United States.
@article{osti_5197528,
title = {Symmetries of the 4D self-dual Yang-Mills equation and the reduction to the 2D KdV equation},
author = {La, HoSeong},
abstractNote = {The Lie-point and the Lie-Baecklund symmetries of 4D self-dual Yang-Mills equation are investigated as those of differential equations. The Lie-point symmetry is nothing but the gauge symmetry at the level of field equation, but the Lie-Baecklund symmetries are new. In particular, by the symmetry reduction to KdV equation in 2D the corresponding Lie-Baecklund symmetries which reduce to the isospectral symmetries or to the nonisospectral symmetries are identified. Some speculations on the existence of the self-dual Yang-Mills hierarchy as well as the derivation of the 4D analogue of the string equation of the nonperturbative 2D quantum gravity are given.},
doi = {},
url = {https://www.osti.gov/biblio/5197528}, journal = {Annals of Physics (New York); (United States)},
issn = {0003-4916},
number = ,
volume = 215:1,
place = {United States},
year = {Wed Apr 01 00:00:00 EST 1992},
month = {Wed Apr 01 00:00:00 EST 1992}
}