Circular quiver gauge theories, isomonodromic deformations and \(W_N\) fermions on the torus
DOI10.1007/s11005-020-01343-4OpenAlexW3175715762MaRDI QIDQ2046832
Alessandro Tanzini, Fabrizio Del Monte, Giulio Bonelli, P. G. Gavrylenko
Publication date: 19 August 2021
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.07990
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Yang-Mills and other gauge theories in quantum field theory (81T13) Groups and algebras in quantum theory and relations with integrable systems (81R12) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Formal methods and deformations in algebraic geometry (14D15) Special quantum systems, such as solvable systems (81Q80) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56) Fermionic systems in quantum theory (81V74)
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Cites Work
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- Free fermions, \(W\)-algebras, and isomonodromic deformations
- Topological strings from quantum mechanics
- Loop and surface operators in \( \mathcal{N} = 2 \) gauge theory and Liouville modular geometry
- Gauge theory loop operators and Liouville theory
- The Liouville side of the vortex
- Stable bundles and integrable systems
- Hidden SL(n) symmetry in conformal field theories
- The dependence on the monodromy data of the isomonodromic tau function
- Quantization of the Hitchin moduli spaces, Liouville theory and the geometric Langlands correspondence. I
- Affine \(SL(2)\) conformal blocks from 4d gauge theories
- Painlevé VI connection problem and monodromy of \(c\)\ =\ 1 conformal blocks
- Topological strings and integrable hierarchies
- Classical and quantum conformal field theory
- The Knizhnik-Zamolodchikov system as a deformation of the isomonodromy problem
- Geometric engineering of quantum field theories
- Hitchin systems -- symplectic Hecke correspondence and two-dimensional version
- Surface operators and separation of variables
- Monodromy dependence and connection formulae for isomonodromic tau functions
- On Painlevé/gauge theory correspondence
- New results in \(\mathcal N=2\) theories from non-perturbative string
- Cluster integrable systems, \(q\)-Painlevé equations and their quantization
- Vertices, vortices \& interacting surface operators
- \(N=4\) dualities
- Conformal field theory of Painlevé VI
- Surface operators in \( \mathcal{N} = 2\) 4d gauge theories
- Wall-crossing in coupled 2d-4d systems
- Integrability and Seiberg-Witten exact solution
- Vector bundles and Lax equations on algebraic curves
- Supersymmetric Yang-Mills theory and integrable systems
- \(q\)-Painlevé equation from Virasoro constraints
- Trinion conformal blocks from topological strings
- Isomonodromic tau-functions from Liouville conformal blocks
- \(\mathcal{N} = 2^*\) gauge theory, free fermions on the torus and Painlevé VI
- Non-perturbative approaches to the quantum Seiberg-Witten curve
- Liouville correlation functions from four-dimensional gauge theories
- Discrete Painlevé equation, Miwa variables and string equation in 5D matrix models
- Higher-rank isomonodromic deformations and \(W\)-algebras
- Cluster Toda chains and Nekrasov functions
- Multiplicative Hitchin systems and supersymmetric gauge theory
- Quantum curves and \(q\)-deformed Painlevé equations
- Combinatorial expressions for the tau functions of \(q\)-Painlevé V and III equations
- Wild quiver gauge theories
- Seiberg-Witten theory as a Fermi gas
- Quantum Hitchin systems via \(\beta\)-deformed matrix models
- The topological vertex
- Isomonodromic \(\tau\)-functions and \(W_{N}\) conformal blocks
- Schlesinger transformations for elliptic isomonodromic deformations
- On the Quantization of Isomonodromic Deformations on the Torus
- How instanton combinatorics solves Painlevé VI, V and IIIs
- q-deformed Painlevéτfunction andq-deformed conformal blocks
- Connection Problem for the Sine-Gordon/Painlevé III Tau Function and Irregular Conformal Blocks: Fig. 1.
- ABJM theory as a Fermi gas
- Irregular conformal blocks, with an application to the fifth and fourth Painlevé equations
- Nonperturbative two-dimensional quantum gravity
- On the explicit solutions of the elliptic Calogero system
- Localization techniques in quantum field theories
- CFT approach to the q-Painlevé VI equation
- Irregular conformal blocks and connection formulae for Painlevé V functions
- Spectral curve and Hamiltonian structure of isomonodromic SU(2) Calogero–Gaudin system
- Classification of isomonodromy problems on elliptic curves
- Divergence of Perturbation Theory in Quantum Electrodynamics
- \(\mathcal N=2\) supersymmetric gauge theories with massive hypermultiplets and the Whitham hierarchy.