Superization of homogeneous spin manifolds and geometry of homogeneous supermanifolds

DOI10.1007/s12188-009-0031-2zbMath1241.53041arXiv0905.3832OpenAlexW2169065580MaRDI QIDQ977338

Andrea Santi

Publication date: 21 June 2010

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.3832

zbMATH Keywords

supergravityKilling spinorssuperconnectionLie supergroupshomogeneous supermanifolds

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Lie algebras of vector fields and related (super) algebras (17B66) Differential geometry of homogeneous manifolds (53C30) Supervarieties (14M30) Supermanifolds and graded manifolds (58A50) Spin and Spin({}^c) geometry (53C27) Complex supergeometry (32C11)

Related Items (6)

Classification of maximal transitive prolongations of super-Poincaré algebras ⋮ Symmetries of supergeometries related to nonholonomic superdistributions ⋮ \(G(3)\)-supergeometry and a supersymmetric extension of the Hilbert-Cartan equation ⋮ Superizations of Cahen-Wallach symmetric spaces and spin representations of the Heisenberg algebra ⋮ Kinematical superspaces ⋮ Super-Poincarè algebras, space-times, and supergravities. II

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