publication . Article . Preprint . 1995

Ward identities of W∞ symmetry and higher-genus amplitudes in 2D string theory

Ken-ji Hamada;
Open Access
  • Published: 06 Sep 1995 Journal: Nuclear Physics B, volume 462, pages 192-210 (issn: 0550-3213, Copyright policy)
  • Publisher: Elsevier BV
Abstract
The Ward identities of the $W_{\infty}$ 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 $c_M = 1$ model and the $c_M <1$ model.
Subjects
arXiv: High Energy Physics::Theory
free text keywords: Nuclear and High Energy Physics, High Energy Physics - Theory, Recursion, String field theory, String theory, Relationship between string theory and quantum field theory, Mathematical physics, Tachyon, Non-critical string theory, Amplitude, Continuum (design consultancy), Physics, Quantum electrodynamics
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