1993/10/18 by Emil Nissimov, Nissimov, Emil, Svetlana Pacheva +1 · 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/9310113
(to appear in "Mathematical Physics Towards the XXIst Century", Proc. Int. Conf. in Beer Sheva, March 1993), LaTeX, 25 pages, BGU-93/22/October-PH (added discussion of generalized Miura transformation for multi-boson KP hierarchies)
openalex publication_date 1993/10/18 · arxiv created 1993/12/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This is mainly a brief review of some key achievements in a `hot'' area of theoretical and mathematical physics. The principal aim is to outline the basic structures underlying \em integrable quantum field theory models with \em infinite-dimensional symmetry groups which display a radically new type of \em quantum group symmetries. Certain particular aspects are elaborated upon with some detail: integrable systems of Kadomtsev-Petviashvili type and their reductions appearing in matrix models of strings; Hamiltonian approach to Lie-Poisson symmetries; quantum field theory approach to two-dimensional relativistic integrable models with dynamically broken conformal invariance. All field-theoretic models in question are of primary relevance to diverse branches of physics ranging from nonlinear hydrodynamics to string theory of fundamental particle interactions at ultra-high energies.