Supersymmetry and noncommutative geometry

DOI10.1016/S0393-0440(96)00029-0zbMath0992.46062arXivhep-th/9604146OpenAlexW2124968928MaRDI QIDQ1357179

W. Kalau, M. Walze

Publication date: 2 July 2002

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

Full work available at URL: https://arxiv.org/abs/hep-th/9604146

zbMATH Keywords

Dirac operatorYang-Mills theorysupersymmetry algebranoncommutative spacesspectral triplerepresentation of the Lorentz groupfermionic degrees of freedomgeneralized differential algebra

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Yang-Mills and other gauge theories in quantum field theory (81T13)

Related Items

A superspace formulation of SUSY in NCG with spectral action ⋮ Supersymmetric QCD and noncommutative geometry ⋮ The fuzzy supersphere ⋮ Graded differential geometry of graded matrix algebras

Cites Work

• Graded gauge theory
• Geometry of supersymmetric gauge theories. Including an introduction to BRS differential algebras and anomalies
• Connes' noncommutative differential geometry and the standard model
• Currents on Grassmann algebras
• The quantum structure of spacetime of the Planck scale and quantum fields
• Classical bosons in a non-commutative geometry
• The fuzzy sphere
• A DETAILED ACCOUNT OF ALAIN CONNES' VERSION OF THE STANDARD MODEL IN NON-COMMUTATIVE GEOMETRY: I AND II.
• NONCOMMUTATIVE GEOMETRY AND GRADED ALGEBRAS IN ELECTROWEAK INTERACTIONS
• Graded gauge theories over supersymmetric space
• Noncommutative geometry and reality
• Particle models and noncommutative geometry
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item