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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 161, Number 2, Pages 191–203
DOI: https://doi.org/10.4213/tmf6431 (Mi tmf6431) 		 
This article is cited in 23 scientific papers (total in 23 papers)

The $2{\times}2$ matrix Schlesinger system and the Belavin–Polyakov–Zamolodchikov system

D. P. Novikov

Omsk State Technical University, Omsk, Russia
Full-text PDF (520 kB) Citations (23)
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DOI: https://doi.org/10.4213/tmf6431
Abstract: We show that the Belavin–Polyakov–Zamolodchikov equation of the minimal model of conformal field theory with the central charge $c=1$ for the Virasoro algebra is contained in a system of linear equations that generates the Schlesinger system with $2{\times}2$ matrices. This generalizes Suleimanov's result on the Painlevé equations. We consider the properties of the solutions, which are expressible in terms of the Riemann theta function.
Keywords: Belavin–Polyakov–Zamolodchikov equation, Schlesinger system, Painlevé equation, Garnier system.
Received: 02.12.2008
English version:
Theoretical and Mathematical Physics, 2009, Volume 161, Issue 2, Pages 1485–1496
DOI: https://doi.org/10.1007/s11232-009-0135-y
Bibliographic databases:
Language: Russian
Citation: D. P. Novikov, “The $2{\times}2$ matrix Schlesinger system and the Belavin–Polyakov–Zamolodchikov system”, TMF, 161:2 (2009), 191–203; Theoret. and Math. Phys., 161:2 (2009), 1485–1496
Citation in format AMSBIB
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    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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