1992/04/28 by L. A. Dickey, Leonid Dickey · 1 citation
Mathematics · Physics and Astronomy · #Action (physics) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Differential equation #Differential operator #Grassmannian #Homogeneous space #Infinitesimal #Invariant (physics) #Korteweg–de Vries equation #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Operator (biology) #Physics #Pure mathematics #Quantum mechanics #String (physics) #hep-th
paper · pdf · doi:10.1142/s0217732393002749
published as Mod. Phys. Lett. A8 (1993) 1259-1272 · 11 pages
arxiv created 1992/04/28 · openalex publication_date 1993/04/30 · arxiv updated 2015/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is well-known that solutions to the string equation are generated by elements of Sato's Grassmannian which are invariant under action of some differential operator. Here it is shown that this operator is nothing else than the infinitesimal operator of the group of additional symmetries of the KdV flow. This is done for KdV hierarchies of arbitrary orders. Virasoro constraints are obtained in a slightly more general form than they are usually written.