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Supersymmetric . . . NonCommutative Geometry
, 1998
"... Classical differential geometry can be encoded in spectral data, such as Connes’ spectral triples, involving supersymmetry algebras. In this paper, we formulate noncommutative geometry in terms of supersymmetric spectral data. This leads to generalizations of Connes’ noncommutative spin geometry e ..."
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Classical differential geometry can be encoded in spectral data, such as Connes’ spectral triples, involving supersymmetry algebras. In this paper, we formulate noncommutative geometry in terms of supersymmetric spectral data. This leads to generalizations of Connes’ noncommutative spin geometry
Gravity coupled with matter and the foundation of non commutative geometry
, 1996
"... We first exhibit in the commutative case the simple algebraic relations between the algebra of functions on a manifold and its infinitesimal length element ds. Its unitary representations correspond to Riemannian metrics and Spin structure while ds is the Dirac propagator ds = ×— × = D −1 where D i ..."
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Cited by 354 (18 self)
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is the Dirac operator. We extend these simple relations to the non commutative case using Tomita’s involution J. We then write a spectral action, the trace of a function of the length element in Planck units, which when applied to the non commutative geometry of the Standard Model will be shown (in a joint
SURFACES WITH NONCOMMUTATIVE GEOMETRY
, 2004
"... We propose a formulation of ddimensional classical SU(N) YangMills theories on a d+2dimensional space, with the extra two dimensions forming a surface with noncommutative geometry. This equivalence is valid in any For theories which do not possess a natural small expansion parameter, the inverse ..."
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We propose a formulation of ddimensional classical SU(N) YangMills theories on a d+2dimensional space, with the extra two dimensions forming a surface with noncommutative geometry. This equivalence is valid in any For theories which do not possess a natural small expansion parameter
Riemannian and Noncommutative Geometry in Physics
, 1995
"... We feel that noncommutative geometry is to particle physics what Riemannian geometry is to gravity. We try to explain this feeling. PACS92: 11.15 Gauge field theories MSC91: 81E13 YangMills and other gauge theories ..."
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We feel that noncommutative geometry is to particle physics what Riemannian geometry is to gravity. We try to explain this feeling. PACS92: 11.15 Gauge field theories MSC91: 81E13 YangMills and other gauge theories
Noncommutative geometry and irreversibility
, 2008
"... A kinetics built upon qcalculus, the calculus of discrete dilatations, is shown to describe diffusion on a hierarchical lattice. The only observable on this ultrametric space is the “quasiposition ” whose eigenvalues are the levels of the hierarchy, corresponding to the volume of phase space avail ..."
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A kinetics built upon qcalculus, the calculus of discrete dilatations, is shown to describe diffusion on a hierarchical lattice. The only observable on this ultrametric space is the “quasiposition ” whose eigenvalues are the levels of the hierarchy, corresponding to the volume of phase space available to the system at any given time. Motion along the lattice of quasipositions is irreversible.
Noncommutative geometry @_n
, 1999
"... These are notes of a talk given in the ’noncommutative gometry’ seminar at the ..."
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Cited by 6 (2 self)
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These are notes of a talk given in the ’noncommutative gometry’ seminar at the
Noncommutative Geometry for Pedestrians
"... A short historical review is made of some recent literature in the field of noncommutative geometry, especially the efforts to add a gravitational field to noncommutative models of spacetime and to use it as an ultraviolet regulator. An extensive bibliography has been added containing reference to ..."
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Cited by 3 (0 self)
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A short historical review is made of some recent literature in the field of noncommutative geometry, especially the efforts to add a gravitational field to noncommutative models of spacetime and to use it as an ultraviolet regulator. An extensive bibliography has been added containing reference
Non Commutative Geometry
, 2007
"... Includes bibliographical references and index. ISBN 9780821852033 (alk. paper) 1. Noncommutative differential geometry—Congresses. I. Connes, Alain. II. Blanchard, Eti ..."
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Includes bibliographical references and index. ISBN 9780821852033 (alk. paper) 1. Noncommutative differential geometry—Congresses. I. Connes, Alain. II. Blanchard, Eti
Results 1  10
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