't Hooft operators in gauge theory from Toda CFT

DOI10.1007/JHEP11(2011)114zbMath1306.81235arXiv1008.4139WikidataQ59267682 ScholiaQ59267682MaRDI QIDQ2261091

Bruno Le Floch, Jaume Gomis

Publication date: 6 March 2015

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.4139

zbMATH Keywords

duality in gauge field theoriesconformal and W symmetryconformal field models in string theory

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items (26)

Gauge and matter superfield theories on \(S^{2}\) ⋮ Bootstrapping the superconformal index with surface defects ⋮ Exact results in \(D = 2\) supersymmetric gauge theories ⋮ Wilson punctured network defects in 2D \(q\)-deformed Yang-Mills theory ⋮ Orbifolds, defects and sphere partition function ⋮ M2-brane surface operators and gauge theory dualities in Toda ⋮ Defects and quantum Seiberg-Witten geometry ⋮ On skein relations in class S theories ⋮ Exact results for boundaries and domain walls in 2d supersymmetric theories ⋮ Line operators in theories of class \( \mathcal{S} \), quantized moduli space of flat connections, and Toda field theory ⋮ Coulomb branch operators and mirror symmetry in three dimensions ⋮ Exact results for 't Hooft loops in gauge theories on \(S^4\) ⋮ Line operator index on \(S^{1}\times S^{3}\) ⋮ Line operators on \(S^1\times\mathbb R^3\) and quantization of the Hitchin moduli space ⋮ S-duality wall of SQCD from Toda braiding ⋮ Toda conformal blocks, quantum groups, and flat connections ⋮ SUSY localization for Coulomb branch operators in omega-deformed 3d \(\mathcal{N} = 4\) gauge theories ⋮ AGT on the S-duality wall ⋮ AGT/\({\mathbb{Z}}_2\) ⋮ A note on Wilson-'t Hooft operators ⋮ (de)tails of Toda CFT ⋮ Wilson-'t Hooft lines as transfer matrices ⋮ Wall-crossing and operator ordering for 't Hooft operators in \(\mathcal{N} = 2\) gauge theories ⋮ Higher-rank isomonodromic deformations and \(W\)-algebras ⋮ On monopole bubbling contributions to 't Hooft loops ⋮ A slow review of the AGT correspondence

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