The fuzzy supersphere

DOI10.1016/S0393-0440(98)00023-0zbMath0933.58002arXivmath-ph/9804013MaRDI QIDQ1299166

G. Reiter, Harald Grosse

Publication date: 23 August 1999

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9804013

zbMATH Keywords

Lie superalgebrasnoncommutative differential geometryfuzzy supersphere

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Supersymmetric field theories in quantum mechanics (81T60) Supermanifolds and graded manifolds (58A50) Graded Lie (super)algebras (17B70) Cohomology of Lie (super)algebras (17B56) Analysis on supermanifolds or graded manifolds (58C50)

Related Items

Topological many-body states in quantum antiferromagnets via fuzzy supergeometry, Fuzzy supersphere and supermonopole, Noncommutative superspace, supermatrix and lowest Landau level, Non-compact Hopf maps and fuzzy ultra-hyperboloids, Graded Hopf maps and fuzzy superspheres, Super quantum Dirac operator on the q-deformed super fuzzy sphere in instanton sector using quantum super Ginsparg–Wilson algebra, Super Dirac operator on the super fuzzy sphere \(S_F^{(2|2)}\) in instanton sector using super Ginsparg-Wilson algebra, NONLOCAL REGULARISATION OF NONCOMMUTATIVE FIELD THEORIES, Graded differential geometry of graded matrix algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The construction of noncommutative manifolds using coherent states
• Graded non-commutative geometries
• Global properties of supermanifolds
• Graded manifolds, supermanifolds and infinite-dimensional Grassmann algebras
• Graded Lie-Cartan pairs. II: The fermionic differential calculus
• Graded Lie-Cartan pairs. I
• The group with Grassmann structure UOSP(1.2)
• The theory of Lie superalgebras. An introduction
• Gauge theories on the noncommutative sphere
• Supersymmetry and noncommutative geometry
• On finite 4D quantum field theory in non-commutative geometry
• Field theory on a supersymmetric lattice
• Connections on central bimodules in noncommutative differential geometry
• Noncommutative lattices as finite approximations
• Finite quantum field theory in noncommutative geometry
• The quantum structure of spacetime of the Planck scale and quantum fields
• Topologically nontrivial field configurations in noncommutative geometry
• Graded tensor calculus
• Noncommutative differential geometry of matrix algebras
• Invariant supersymmetric multilinear forms and the Casimir elements of P-type Lie superalgebras
• On tensor operators of the Lie superalgebra OSP(1,2)
• Discrete supergroups and super Riemann surfaces
• A global theory of supermanifolds
• INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS
• The fuzzy sphere
• Wigner–Eckart theorem for tensor operators of graded Lie algebras
• Graded Lie algebras: Generalization of Hermitian representations
• Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras
• Super angular momentum and super spherical harmonics
• GENERIC IRREDUCIBLE REPRESENTATIONS OF FINITE-DIMENSIONAL LIE SUPERALGEBRAS
• Cohomology of Lie superalgebras and their generalizations
• Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups
• Chern–Simons forms on principal superfiber bundles
• Super matrix geometry
• Lie superalgebras