1995/09/30 by Ken-ji Hamada
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #hep-th
paper · pdf · doi:10.1016/0550-3213(95)00607-9
published as Nucl.Phys. B462 (1996) 192-210 · 21 pages, Latex, 5 figures. Revised version published in Nucl. Phys. B. Errors of coefficients in some formula and the potential term are corrected. Some sentences are rewritten
arxiv created 1995/11/21 · openalex publication_date 1996/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The Ward identities of the W∞ symmetry in two dimensional string theory in the tachyon background are studied in the continuum approach. We consider amplitudes different from 2D string ones by the external leg factor and derive the recursion relations among them. The recursion relations have non-linear terms which give relations among the amplitudes defined on different genus. The solutions agree with the matrix model results even in higher genus. We also discuss differences of roles of the external leg factor between the cM = 1 model and the cM <1 model.