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

DOI10.1016/0003-4916(92)90300-BzbMath0748.35034OpenAlexW2060775972MaRDI QIDQ1191704

HoSeong La

Publication date: 27 September 1992

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(92)90300-b

zbMATH Keywords

gauge symmetryLie-Bäcklund symmetries4D analogue of the string equationisospectral symmetriesLie-point symmetrynonisospectral symmetriesnonperturbative 2D quantum gravity

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Yang-Mills and other gauge theories in quantum field theory (81T13) Symmetry breaking in quantum theory (81R40) PDEs in connection with quantum mechanics (35Q40) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (2)

Symmetries of the self-dual Yang-Mills equations ⋮ Reductions by isometries of the self-dual Yang–Mills equations in four-dimensional Euclidean space

Cites Work

• Strings in less than one dimension and the generalized KdV hierarchies
• Current algebras and Wess-Zumino model in two dimensions
• SYMMETRIES IN NON-PERTURBATIVE 2-d QUANTUM GRAVITY
• SELF-DUALITY AND N=2 STRING MAGIC
• The search for higher symmetry in string theory
• Nonperturbative two-dimensional quantum gravity
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