Free fermions, \(W\)-algebras, and isomonodromic deformations

DOI10.1134/S0040577916050044zbMath1346.81118arXiv1605.04554MaRDI QIDQ309318

P. G. Gavrylenko, Andrei Marshakov

Publication date: 7 September 2016

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.04554

zbMATH Keywords

isomonodromic deformation\(W\)-algebratwo-dimensional conformal field theory

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (17)

Quantum spectral problems and isomonodromic deformations ⋮ Monodromy dependence and connection formulae for isomonodromic tau functions ⋮ On Painlevé/gauge theory correspondence ⋮ From quantum curves to topological string partition functions ⋮ \(\mathcal{N} = 2^*\) gauge theory, free fermions on the torus and Painlevé VI ⋮ Topological string amplitudes and Seiberg-Witten prepotentials from the counting of dimers in transverse flux ⋮ Isomonodromic tau functions on a torus as Fredholm determinants, and charged partitions ⋮ Twisted representations of algebra of \(q\)-difference operators, twisted \(q-W\) algebras and conformal blocks ⋮ Pure 𝑆𝑈(2) gauge theory partition function and generalized Bessel kernel ⋮ New results in \(\mathcal N=2\) theories from non-perturbative string ⋮ Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions ⋮ Painlevé equations from Nakajima-Yoshioka blowup relations ⋮ Twist-field representations of W-algebras, exact conformal blocks and character identities ⋮ Circular quiver gauge theories, isomonodromic deformations and \(W_N\) fermions on the torus ⋮ Higher-rank isomonodromic deformations and \(W\)-algebras ⋮ Fredholm Pfaffian \(\tau \)-functions for orthogonal isospectral and isomonodromic systems ⋮ A slow review of the AGT correspondence

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