On solutions of the Fuji-Suzuki-Tsuda system
From MaRDI portal
Publication:1755860
DOI10.3842/SIGMA.2018.123zbMath1412.34243arXiv1806.08650OpenAlexW2809664342WikidataQ128947456 ScholiaQ128947456MaRDI QIDQ1755860
Nikolai Iorgov, Oleg Lisovyy, P. G. Gavrylenko
Publication date: 11 January 2019
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.08650
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)
Related Items
Painlevé/CFT correspondence on a torus ⋮ Theory and applications of the elliptic Painlevé equation ⋮ 2-parameter \(\tau\)-function for the first Painlevé equation: topological recursion and direct monodromy problem via exact WKB analysis ⋮ Isomonodromic tau functions on a torus as Fredholm determinants, and charged partitions ⋮ Higher-rank isomonodromic deformations and \(W\)-algebras ⋮ A slow review of the AGT correspondence
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bilinear equations on Painlevé \(\tau\) functions from CFT
- Hermite-Padé approximation, isomonodromic deformation and hypergeometric integral
- A particular solution of a Painlevé system in terms of the hypergeometric function \(_{n+1}F_{n}\)
- Isomonodromic deformations and twisted Yangians arising in Teichmüller theory
- Seiberg-Witten prepotential from instanton counting
- Algebraic solutions of the sixth Painlevé equation
- Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
- Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\)
- Monodromy of certain Painlevé-VI transcendents and reflection groups
- Tau functions as Widom constants
- Conformal field theory of Painlevé VI
- On the algebro-geometric integration of the Schlesinger equations
- Solution of matrix Riemann-Hilbert problems with quasi-permutation monodromy matrices
- On AGT relation in the case of \(U(3)\)
- Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions
- Isomonodromic tau-functions from Liouville conformal blocks
- Integrable structure, W-symmetry and AGT relation
- Liouville correlation functions from four-dimensional gauge theories
- Higher-rank isomonodromic deformations and \(W\)-algebras
- UC hierarchy and monodromy preserving deformation
- FROM KP/UC HIERARCHIES TO PAINLEVÉ EQUATIONS
- HYPERGEOMETRIC SOLUTION OF A CERTAIN POLYNOMIAL HAMILTONIAN SYSTEM OF ISOMONODROMY TYPE
- A quantum isomonodromy equation and its application to {\cal N}=2SU(N) gauge theories
- Drinfeld-Sokolov Hierarchies of Type A and Fourth Order Painleve Systems
- Fredholm determinants, Jimbo‐Miwa‐Ueno τ‐functions, and representation theory
- Pure 𝑆𝑈(2) gauge theory partition function and generalized Bessel kernel
- A class of higher order Painlevé systems arising from integrable hierarchies of type 𝐴
- Picard and Chazy solutions to the Painlevé VI equation
