On Solutions of the Fuji-Suzuki-Tsuda System

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dc.contributor.authorGavrylenko, P.
dc.contributor.authorIorgov, N.
dc.contributor.authorLisovyy, O.
dc.date.accessioned2025-11-28T09:41:21Z
dc.date.issued2018
dc.description.abstractWe derive the Fredholm determinant and series representation of the tau function of the Fuji-Suzuki-Tsuda system and its multivariate extension, thereby generalizing to higher rank the results obtained for Painlevé VI and the Garnier system. A special case of our construction gives a higher rank analog of the continuous hypergeometric kernel of Borodin and Olshanski. We also initiate the study of the algebraic braid group dynamics of semi-degenerate monodromy and, as a byproduct, obtain a direct isomonodromic proof of the AGT-W relation for c = N−1.
dc.description.sponsorshipThe work of P.G. was partially supported by the Russian Academic Excellence Project ‘5-100’ and by the RSF grant No. 16-11-10160. In particular, the results of Section 6 were obtained using the support of the Russian Science Foundation. P.G. is a Young Russian Mathematics award winner and would like to thank their sponsors and jury. N.I. was partially supported by the National Academy of Sciences of Ukraine (project No. 0117U000238), by the Program of Fundamental Research of the Department of Physics and Astronomy of the NAS of Ukraine (project No. 0117U000240), and by the ICTP-SEENET-MTP project NT-03: Cosmology - Classical and Quantum Challenges.
dc.identifier.citationOn Solutions of the Fuji-Suzuki-Tsuda System / P. Gavrylenko, N. Iorgov, O. Lisovyy // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 33 назв. — англ.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2018.123
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 33E17; 34M55; 34M56
dc.identifier.otherarXiv: 1806.08650
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/209881
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleOn Solutions of the Fuji-Suzuki-Tsuda System
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2018, том 14, випуск за цей рік