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Supersymmetric Quantum Theory and Non-Commutative Geometry [PDF]
Communications in Mathematical Physics, 1999 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 ...
Fröhlich, J. +2 more
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Non-commutative Differential Geometry
1992This chapter is an exposition, without any proof or detail, of some topics in Non-Commutative Differential Geometry (NCDG), which involve the cyclic theory.
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Non-Commutative Geometry and Graphs
1990Objects of this paper are complete digraphs (directed simple graphs). A colouring of such a digraph is a mapping from the vertices and the arcs onto a set F of colours. We assume that vertices and arcs are differently coloured but do provisionally no further restrictions. Following J. Pfalzgraf [8] we denote this mapping by .
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Existence of wormhole solutions in gravity under non-commutative geometries
Physics of the Dark Universe, 2023Pradyumn Kumar Sahoo +2 more
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Traversable wormhole inspired by non-commutative geometries in gravity with conformal symmetry
Annals of Physics, 2022Ghulam Mustafa +2 more
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On possible wormhole solutions supported by non-commutative geometry within gravity
Annals of Physics, 2023Venkatesha Venkatesha +2 more
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Traversable wormholes in Rastall teleparallel gravity with non-commutative geometry
New Astronomy, 2023Ertan Güdekli
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Non-commutative geometry: A physicist's brief survey
Journal of Geometry and Physics, 1993R Coquereaux
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