Results 11 to 20 of about 33,662 (238)

Curvature in noncommutative geometry [PDF]

open access: yes, 2019
Our understanding of the notion of curvature in a noncommutative setting has progressed substantially in the past ten years. This new episode in noncommutative geometry started when a Gauss-Bonnet theorem was proved by Connes and Tretkoff for a curved noncommutative two torus. Ideas from spectral geometry and heat kernel asymptotic expansions suggest a
Fathizadeh, Farzad, Khalkhali, Masoud
openaire   +3 more sources

Supersymmetry and noncommutative geometry [PDF]

open access: yesJournal of Geometry and Physics, 1997
26pp ...
Kalau, W., Walze, M.
openaire   +5 more sources

LOCALITY, CAUSALITY AND NONCOMMUTATIVE GEOMETRY [PDF]

open access: yesInternational Journal of Modern Physics A, 2006
We analyze the causality condition in noncommutative field theory and show that the nonlocality of noncommutative interaction leads to a modification of the light cone to the light wedge. This effect is generic for noncommutative geometry. We also check that the usual form of energy condition is violated and propose that a new form is needed in ...
Chu, Chong-Sun, Furuta, Ko, Inami, Takeo
openaire   +4 more sources

Noncommutative localization in noncommutative geometry [PDF]

open access: yes, 2009
93 pages; (including index: use makeindex); introductory survey, but with few smaller new ...
Skoda, Zoran
openaire   +4 more sources

Internal Space for the Noncommutative Geometry Standard Model and Strings [PDF]

open access: yes, 2006
In this paper I discuss connections between the noncommutative geometry approach to the standard model on one side, and the internal space coming from strings on the other.
Berline N.   +7 more
core   +5 more sources

NONCOMMUTATIVE GEOMETRIES: AN OVERVIEW [PDF]

open access: yesInternational Journal of Modern Physics A, 2008
I make a very introductory overview of noncommutative geometries, focusing on the DFR model for Minkowski space; in this model the noncommutativity, or “fuzziness”, of spacetime events emerges at semiclassical level putting together the Heisenberg principle with general relativity.
openaire   +3 more sources

Noncommutative Symmetries and Gravity [PDF]

open access: yes, 2006
Spacetime geometry is twisted (deformed) into noncommutative spacetime geometry, where functions and tensors are now star-multiplied. Consistently, spacetime diffeomorhisms are twisted into noncommutative diffeomorphisms.
Abe E   +20 more
core   +5 more sources

Particle Physics from Almost Commutative Spacetimes [PDF]

open access: yes, 2012
Our aim in this review article is to present the applications of Connes' noncommutative geometry to elementary particle physics. Whereas the existing literature is mostly focused on a mathematical audience, in this article we introduce the ideas and ...
Bleecker D.   +17 more
core   +2 more sources

Noncommutative geometry and gravity [PDF]

open access: yesClassical and Quantum Gravity, 2006
40pages; v2: references ...
ASCHIERI, Paolo Maria   +3 more
openaire   +3 more sources

Noncommutative Geometries and Gravity [PDF]

open access: yesAIP Conference Proceedings, 2008
We briefly review ideas about ``noncommutativity of space-time'' and approaches toward a corresponding theory of gravity.
Folkert Müller-Hoissen   +3 more
openaire   +3 more sources

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