1995/10/31 by Fumihiko Sugino, Tamiaki Yoneya · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum many-body systems #hep-th
paper · pdf · doi:10.1103/physrevd.53.4448
published as Phys.Rev. D53 (1996) 4448-4488 · 70 pages, LaTeX, typographical errors are corrected, to be published in Phys. Rev. D
arxiv created 1996/01/09 · openalex publication_date 1996/04/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We present detailed discussions on the stochastic Hamiltonians for noncritical string field theories on the basis of matrix models. Beginning from the simplest c=0 case, we derive the explicit forms of the Hamiltonians for the higher critical case k=3 (which corresponds to c=-22/5) and for the case c=1/2, directly from the double-scaled matrix models. In particular, for the two-matrix case, we do not put any restrictions on the spin configurations of the string fields. The properties of the resulting infinite algebras of Schwinger-Dyson operators associated with the Hamiltonians and the derivation of the Virasoro and W3 algebras therefrom are also investigated. Our results suggest a certain universal structure of the stochastic Hamiltonians, which might be useful for an attempt towards a background-independent string field theory. \textcopyright 1996 The American Physical Society.