Supersymmetric quantum theory and non-commutative geometry

Details Supersymmetric quantum theory and non-commutative geometry Supersymmetric quantum theory and non-commutative geometry

1998-07-09

arxiv.org/abs/math-ph/9807006v3

Commun.Math.Phys.203:119-184,1999

Physics

Mathematical Physics

77 pages, PlainTeX, no figures; present paper is a significantly extended version of the second half of hep-th/9612205. Assump

Scientific paper

10.1007/s002200050608

Classical differential geometry can be encoded in spectral data, such as Connes' spectral triples, involving supersymmetry algebras. In this paper, we formulate non-commutative geometry in terms of supersymmetric spectral data. This leads to generalizations of Connes' non-commutative spin geometry encompassing non-commutative Riemannian, symplectic, complex-Hermitian and (Hyper-)Kaehler geometry. A general framework for non-commutative geometry is developed from the point of view of supersymmetry and illustrated in terms of examples. In particular, the non-commutative torus and the non-commutative 3-sphere are studied in some detail.

Affiliated with

Also associated with

No associations

Rating

Supersymmetric quantum theory and non-commutative geometry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Supersymmetric quantum theory and non-commutative geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Supersymmetric quantum theory and non-commutative geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-297489