1994/01/25 by W. Lerche, Lerche, W. · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9401121
19p, plain tex, 1 uuencoded PostScript figure
arxiv created 1994/01/25 · openalex publication_date 1994/01/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
(Talk given at Strings '93, Berkeley, and at XXVII. Internationales Symposium über Elementarteilchentheorie, Wendisch-Rietz, 1993) We review the superconformal properties of matter coupled to 2d gravity, and W-extensions thereof. We show in particular how the \nex2 structure provides a direct link between certain matter-gravity systems and matrix models. We also show that much, probably all, of this can be generalized to W-gravity, and this leads to an infinite class of new exactly solvable systems. These systems are governed by certain integrable hierarchies, which are generalizations of the usual KdV hierarchy and whose algebraic structure is given in terms of quantum cohomology rings of grassmannians.