The 2×2 matrix Schlesinger system and the Belavin-Polyakov-Zamolodchikov system

✍ Scribed by D. P. Novikov

• Book ID: 106542063
• Publisher: SP MAIK Nauka/Interperiodica
• Year: 2009
• Tongue: English
• Weight: 439 KB
• Volume: 161
• Category: Article
• ISSN: 0040-5779
• DOI: 10.1007/s11232-009-0135-y

✦ Synopsis

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 2×2 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.