On the space of KdV fields

DOI10.1007/s11005-009-0326-3zbMath1179.37094arXiv0904.0501OpenAlexW2085214478MaRDI QIDQ839598

Atsushi Nakayashiki

Publication date: 2 September 2009

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

Full work available at URL: https://arxiv.org/abs/0904.0501

zbMATH Keywords

D-moduleKdV hierarchybosson-fermion correspondencespace of fields

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Vertex operators; vertex operator algebras and related structures (17B69) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Cites Work

• On hyperelliptic abelian functions of genus 3
• Null-vectors in integrable field theory
• A functional model for the tensor product of level \(1\) highest and level \(-1\) lowest modules for the quantum affine algebra \(U_q(\widetilde{\mathfrak{sl}}_2)\)
• Introduction to Classical Integrable Systems
• Spectral curves, algebraically completely integrable Hamiltonian systems, and moduli of bundles
• Sigma Function as A Tau Function
• Cohomologies of affine hyperelliptic Jacobi varieties and integrable systems
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