A relation between instantons of Grassmann \(\sigma\)-models and Toda equations

DOI10.1007/BF00406548zbMath0767.35067MaRDI QIDQ1196100

Kazuyuki Fujii

Publication date: 10 November 1992

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

zbMATH Keywords

\mathbb{C})\)continuum Toda equationirreducible representations of \(\text{sl}(2solutions of Toda equations

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) PDEs in connection with quantum mechanics (35Q40)

Related Items

Ferretti-Rajeev term and homotopy theory ⋮ Solutions of A∞ Toda equations based on noncompact group SU(1,1) and infinite-dimensional Grassmann manifolds ⋮ Nonlinear Grassmann \(\sigma\)-models, Toda equations, and self-dual Einstein equations: Supplements to previous papers

Cites Work

• Representation theory and integration of nonlinear spherically symmetric equations to gauge theories
• Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). 2nd ed
• Covariant differential equations and singular vectors in Virasoro representations
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