Supersymmetric quantum theory and non-commutative geometry
Froehlich, J. ; Grandjean, O. ; Recknagel, A.
arXiv, 9807006 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-07-09
Classification:  Mathematical Physics,  High Energy Physics - Theory 
@article{9807006,
     author = {Froehlich, J. and Grandjean, O. and Recknagel, A.},
     title = {Supersymmetric quantum theory and non-commutative geometry},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9807006}
}

Froehlich, J.; Grandjean, O.; Recknagel, A. Supersymmetric quantum theory and non-commutative geometry. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9807006/