Noncommutative geometry and spacetime gauge symmetries of string theory

DOI10.1016/S0960-0779(98)00085-XzbMath0994.81111arXivhep-th/9712206OpenAlexW3101421252MaRDI QIDQ1610021

Richard J. Szabo, Fedele Lizzi

Publication date: 18 August 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9712206

zbMATH Keywords

vertex operator algebraduality symmetriesM theorygeneralized Kac-Moody symmetriesMonster sporadic groupuniversal gauge group

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) 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) Noncommutative geometry methods in quantum field theory (81T75) Methods of quantum field theory in general relativity and gravitational theory (83C47)

Related Items (6)

NONCOMMUTATIVE GEOMETRY, STRINGS AND DUALITY ⋮ \(\mathcal W\) geometry from Fedosov's deformation quantization ⋮ Quantization and Morita equivalence for constant Dirac structures on tori. ⋮ Quantum field theory on noncommutative spaces ⋮ MAGNETIC BACKGROUNDS AND NONCOMMUTATIVE FIELD THEORY ⋮ Hints of a new relativity principle from \(p\)-brane quantum mechanics

Cites Work

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• Branes from matrices
• C*-algebras associated with irrational rotations
• The spectral action principle
• \(\text{O} (d,d,\mathbf Z)\) transformations as automorphisms of the operator algebra
• Monstrous moonshine and monstrous Lie superalgebras
• Target Space Duality in Noncommutative Geometry

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