2004/01/26 by A. Marshakov, Marshakov, A.
Computer Science · Physics and Astronomy · #Black Holes and Theoretical Physics #Computational Physics and Python Applications #Cosmology and Gravitation Theories #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th #nlin.SI
paper · pdf · doi:10.48550/arxiv.hep-th/0401199
7 pages, LaTeX, Contribution to the proceedings of the conference "Lie theory and its applications in physics", June 2003, Varna, Bulgaria; misprints corrected, acknowledgments added
openalex publication_date 2004/01/26 · arxiv created 2004/02/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The role of integrable systems in string theory is discussed. We remind old examples of the correspondence between stringy partition functions or effective actions and integrable equations, based on effective application of the matrix model technique. Then we turn to a new example, coming from the Nekrasov deformation of the Seiberg-Witten prepotential. In the last case the deformed theory is described by a different statistical model, which becomes equivalent to a partition function of a topological string. The full partition function of string theory arises therefore always as a certain "quantization" of its quasiclassical geometry.