Discrete matrix models for partial sums of conformal blocks associated to Painlevé transcendents

DOI10.1088/0951-7715/28/1/43zbMath1309.33022arXiv1405.1871OpenAlexW2091343050MaRDI QIDQ5496690

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Publication date: 2 February 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.1871

zbMATH Keywords

Painlevé transcendentsgeneralized hypergeometric functionsisomonodromic tau-functionsdiscrete matrix models

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Random matrices (algebraic aspects) (15B52) Painlevé-type functions (33E17)

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Exact partition functions for deformed \( \mathcal{N}=2 \) theories with \( {\mathcal{N}}_f=4 \) flavours ⋮ Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions ⋮ A slow review of the AGT correspondence

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