1993/09/13 by Wen-Jui Huang
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Waves and Solitons #Spectral Theory in Mathematical Physics #hep-th #math.QA
paper · pdf · doi:10.1063/1.530626
20 pages
arxiv created 1993/09/13 · openalex publication_date 1994/02/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A study of diff(S1) covariant properties of a pseudodifferential operator of integer degree is presented. First, it is shown that the action of diff(S1) defines a Hamiltonian flow defined by the second Gelfand–Dickey bracket if and only if the pseudodifferential operator transforms covariantly. Second, the covariant form of a pseudodifferential operator of degree n ≠ 0,±1 is constructed by exploiting the inverse of the covariant derivative. This, in particular, implies the existence of a primary basis for WKP(n) (n ≠ 0,±1).