The Riemann–Hilbert transformation for an approach to a representation of the Virasoro group

DOI10.1063/1.528345zbMath0687.17008OpenAlexW2094160770MaRDI QIDQ4205609

Wei Li, Bo-Yu Hou

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528345

zbMATH Keywords

Virasoro groupGeroch groupKac-Moody groupRiemann-Hilbert transformationErnst field equation

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65) Constructive quantum field theory (81T08) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items (6)

The Riemann–Hilbert problem approach to a representation of the Virasoro group II ⋮ On the group aspects of Riemann–Hilbert transformations ⋮ New infinite-dimensional multiple-symmetry groups for the Einstein-Maxwell-dilaton-axion theory ⋮ New infinite-dimensional multiple symmetry groups for the EMDA theory with two vector fields ⋮ NEW INFINITE-DIMENSIONAL DOUBLE SYMMETRY GROUPS FOR THE EINSTEIN–KALB–RAMOND THEORY ⋮ New infinite-dimensional quadruple symmetry groups for the general symplectic gravity model

Cites Work

• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• New Virasoro and Kac-Moody symmetries for the non-linear σ-model
• Proof of a Geroch conjecture
• Relationship between the inverse scattering techniques of Belinskii–Zakharov and Hauser–Ernst in general relativity
• A Method for Generating New Solutions of Einstein's Equation. II

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