The M-theory origin of global properties of gauge theories

DOI10.1016/j.nuclphysb.2015.10.011zbMath1332.81123arXiv1507.04743OpenAlexW1919304765MaRDI QIDQ253000

Susanne Reffert, Domenico Orlando, Antonio Amariti, Claudius Klare

Publication date: 7 March 2016

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

Full work available at URL: https://arxiv.org/abs/1507.04743

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) String and superstring theories in gravitational theory (83E30) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of Lie (super)algebras to physics, etc. (17B81) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (7)

On the global structure of deformed Yang-Mills theory and \(QCD(adj)\) on \(\mathbb{R}^3\times\mathbb{S}^1\) ⋮ Line operators from M-branes on compact Riemann surfaces ⋮ Lens space index and global properties for 4d \(\mathcal{N} = 2\) models ⋮ Phases of \(\mathcal{N} = 2\) necklace quivers ⋮ Connecting localization and wall-crossing via D-branes ⋮ IIB flux non-commutativity and the global structure of field theories ⋮ A slow review of the AGT correspondence

Cites Work

• Brane bending and monopole moduli
• Mordell-Weil torsion and the global structure of gauge groups in F-theory
• \(3d\) dualities from \(4d\) dualities
• \(3d\) dualities from \(4d\) dualities for orthogonal groups
• Reading between the lines of four-dimensional gauge theories
• The algebra of Wilson-'t Hooft operators
• Solutions of four-dimensional field theories via M-theory
• A strong coupling test of \(S\)-duality
• Duality, phases, spinors and monopoles in \(\text{SO}(N)\) and \(\text{Spin}(N)\) gauge theories
• A classical manifestation of the Pauli exclusion principle
• Orientifold points in M-theory
• Generalized global symmetries
• Global properties of supersymmetric theories and the lens space
• Framed BPS states
• Sublattice counting and orbifolds
• 4D/3D reduction of dualities: mirrors on the circle
• Line operators in theories of class \( \mathcal{S} \), quantized moduli space of flat connections, and Toda field theory
• The braneology of 3D dualities
• On orientifolds, discrete torsion, branes and M-theory

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