Algebraic topology foundations of supersymmetry and symmetry breaking in quantum field theory and quantum gravity: a review
DOI10.3842/SIGMA.2009.051zbMath1160.81300arXiv0904.3644OpenAlexW2116836708WikidataQ125641329 ScholiaQ125641329MaRDI QIDQ1016673
James F. Glazebrook, Ion C. Baianu, Ronald Brown
Publication date: 21 May 2009
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0904.3644
Lie algebroidsLie algebrassymmetry breakingsuperfluidsalgebraic topology of quantum systemsapplications of generalized Van kampen theorem (GvKT) to quantum spacetime invariantscompact quantum groupoidsconvolution algebras and quantum algebroidsextended quantum symmetriesfluctuating quantum spacetimesGrassmann-Hopfgroupoid and functor representations in relation to extended quantum symmetries in QATgroupoids and algebroidsHamiltonian algebroids in quantum gravityhigher dimensional quantum symmetriesintense gravitational fieldsnuclear Fréchet spaces and GNS representations of quantum state spaces (QSS)paracrystalsparagroups and Kac algebrasPoisson-Lie manifolds and quantum gravity theoriesquantization proceduresquantum algebraic topology (QAT)quantum algebras: von Neumann algebra factorsquantum double groupoids and algebroidsquantum fundamental groupoidsquantum groupoid \(C^{*}\)-algebrasquantum groups and ring structuresrelativistic quantum gravity (RQG)SPIN networks and SPIN glassessupergravity and supersymmetry theoriestensor products of algebroids and categoriesweak \(C^{*}\)-Hopf algebroidsweak \(C^{*}\)-Hopf and graded Lie algebras
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) General theory of von Neumann algebras (46L10) Measures on groups and semigroups, etc. (43A05) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Symmetry breaking in quantum theory (81R40) Topological groupoids (including differentiable and Lie groupoids) (22A22)
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