Splitting of surface defect partition functions and integrable systems

DOI10.1016/j.nuclphysb.2018.12.007zbMath1405.81076arXiv1709.04926OpenAlexW2754208138MaRDI QIDQ1710212

Saebyeok Jeong

Publication date: 15 January 2019

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.04926

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Yang-Mills and other gauge theories in quantum field theory (81T13) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) (n)-vertex theorems via direct methods (51L15) Orbifold cohomology (55N32) Yang-Baxter equations (16T25)

Related Items

Tetrahedron instantons ⋮ Riemann-Hilbert correspondence and blown up surface defects ⋮ Quantum elliptic Calogero-Moser systems from gauge origami ⋮ Black hole perturbation theory and multiple polylogarithms ⋮ Exact WKB and abelianization for the \(T_3\) equation ⋮ Bands and gaps in Nekrasov partition function ⋮ New quantum toroidal algebras from 5D \(\mathcal{N} = 1\) instantons on orbifolds ⋮ On a complete solution of the quantum Dell system ⋮ A slow review of the AGT correspondence

Cites Work

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• Non-perturbative quantum geometry. II
• Exact results for 't Hooft loops in gauge theories on \(S^4\)
• Loop and surface operators in \( \mathcal{N} = 2 \) gauge theory and Liouville modular geometry
• Gauge theory loop operators and Liouville theory
• Instanton counting with a surface operator and the chain-saw quiver
• Stable bundles and integrable systems
• Branes and quantization
• Seiberg-Witten prepotential from instanton counting
• Complete set of eigenfunctions of the quantum Toda chain
• Infinite conformal symmetry in two-dimensional quantum field theory
• Five-dimensional gauge theories and relativistic integrable systems
• Monopoles, duality and chiral symmetry breaking in \(N=2\) supersymmetric QCD
• Surface operators and separation of variables
• BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and \(qq\)-characters
• BPS/CFT correspondence. II: Instantons at crossroads, moduli and compactness theorem
• \((p,q)\)-webs of DIM representations, 5d \(\;\mathcal{N}=1 \) instanton partition functions and qq-characters
• Bands and gaps in Nekrasov partition function
• \(N=4\) dualities
• Surface operators in \( \mathcal{N} = 2\) 4d gauge theories
• Resurgence and trans-series in quantum field theory: the \(\mathbb{C}{{\mathbb{P}}^{N-1}}\) model
• Integrability and Seiberg-Witten exact solution
• Integrable systems and supersymmetric gauge theory
• Supersymmetric Yang-Mills theory and integrable systems
• Electric-magnetic duality, monopole condensation, and confinement in \(N=2\) supersymmetric Yang-Mills theory
• Integral representation for the eigenfunctions of a quantum periodic Toda chain
• The omega deformation, branes, integrability and Liouville theory
• Liouville correlation functions from four-dimensional gauge theories
• Quantum geometry and quiver gauge theories
• BPS/CFT correspondence. III: Gauge origami partition function and \(qq\)-characters
• Defects and quantum Seiberg-Witten geometry
• Integral representations for the eigenfunctions of quantum open and periodic Toda chains from the QISM formalism
• TBA for the Toda chain
• Quantization of Integrable Systems and Four Dimensional Gauge Theories
• Quantum Integrability and Supersymmetric Vacua
• The periodic Toda chain and a matrix generalization of the Bessel function recursion relations
• D-brane physics and noncommutative Yang-Mills theory

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