The Minkowski and Conformal Superspaces

DOI10.1142/8972zbMath1347.81006OpenAlexW4233652862MaRDI QIDQ2942157

María A. Lledó, Rita Fioresi

Publication date: 19 August 2015

Full work available at URL: https://doi.org/10.1142/8972

zbMATH Keywords

quantum groupssupersymmetrysupergroupsgeneralized spacesconformal superspacesMinkowski and conformal geometryMinkowsky

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Supersymmetric field theories in quantum mechanics (81T60) Grassmannians, Schubert varieties, flag manifolds (14M15) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Supervarieties (14M30) Special relativity (83A05) Structure and representation of the Lorentz group (22E43) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Clifford algebras, spinors (15A66) Analysis on supermanifolds or graded manifolds (58C50) Physics (00A79) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (12)

Hilbert series of typical representations for Lie superalgebras ⋮ Highest weight Harish-Chandra supermodules and their geometric realizations ⋮ Klein and conformal superspaces, split algebras and spinor orbits ⋮ Real forms of complex Lie superalgebras and supergroups ⋮ \(G(3)\)-supergeometry and a supersymmetric extension of the Hilbert-Cartan equation ⋮ Quotients of complex algebraic supergroups ⋮ The projective linear supergroup and the SUSY-preserving automorphisms of \(\mathbb{P}^{1|1}\) ⋮ Quantum twistors ⋮ Quantum Klein space and superspace ⋮ The push-the-button algorithm for contragredient Lie superalgebras ⋮ A class of homogeneous superspaces associated to odd involutions ⋮ N = 2 quantum chiral superfields and quantum super bundles

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