Gauged Laplacians on quantum Hopf bundles
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Publication:842447
DOI10.1007/s00220-008-0672-5zbMath1180.58004arXiv0801.3376OpenAlexW2090061134MaRDI QIDQ842447
Alessandro Zampini, Giovanni Landi, Cesare Reina
Publication date: 25 September 2009
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0801.3376
Noncommutative differential geometry (46L87) Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60) Geometry of quantum groups (58B32) Ring-theoretic aspects of quantum groups (16T20)
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EXAMPLES OF HODGE LAPLACIANS ON QUANTUM SPHERES ⋮ Yang-Mills-scalar-matter fields in the quantum Hopf fibration ⋮ Dimensional reduction over the quantum sphere and non-Abelian \(q\)-vortices ⋮ Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces ⋮ Quantum bundle description of quantum projective spaces ⋮ Anti-selfdual connections on the quantum projective plane: monopoles ⋮ Twisted sigma-model solitons on the quantum projective line ⋮ CALCULI, HODGE OPERATORS AND LAPLACIANS ON A QUANTUM HOPF FIBRATION ⋮ Examples of gauged Laplacians on noncommutative spaces ⋮ HODGE DUALITY OPERATORS ON LEFT-COVARIANT EXTERIOR ALGEBRAS OVER TWO- AND THREE-DIMENSIONAL QUANTUM SPHERES
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