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Quantum (non-commutative) toric geometry: Foundations [PDF]
Advances in Mathematics, 2021 93 pages, 4 ...
Katzarkov, Ludmil +3 more
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Geometric non-commutative geometry [PDF]
Expositiones Mathematicae, 2021 In a recent paper, the authors proved that no spin foliation on a compact enlargeable manifold with Hausdorff homotopy graph admits a metric of positive scalar curvature on its leaves. This result extends groundbreaking results of Lichnerowicz, Gromov and Lawson, and Connes on the non-existence of metrics of positive scalar curvature.
Benameur, Moulay Tahar +1 more
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Gravitational Measurements in Higher Dimensions
Galaxies, 2021 We attempt to study three significant tests of general relativity in higher dimensions, both in commutative and non-commutative spaces. In the context of non-commutative geometry, we will consider a solution of Einstein’s equation in higher dimensions ...
Davood Mahdavian Yekta +2 more
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Non-commutative geometry and irreversibility [PDF]
The European Physical Journal B, 1998 15 pages, 2 figures, Revtex ...
Erzan, A, Gorbon, A
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Gravitomagnetism and Non-commutative Geometry [PDF]
International Journal of Theoretical Physics, 2013 14 ...
Malekolkalami, Behrooz +1 more
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Non-Commutative Geometry Indomitable
Notices of the American Mathematical Society, 2021 This paper is a very brief and gentle introduction to non-commutative geometry geared primarily towards physicists and geometers. It starts with a brief historical description of the motivation for non-commutative geometry and then goes on to motivate the subject from the point of view of the the understanding of local symmetries affordee by the theory
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Open-string non-associativity in an R-flux background
Journal of High Energy Physics, 2020 We derive the commutation relations for open-string coordinates on D-branes in non-geometric background spaces. Starting from D0-branes on a three-dimensional torus with H -flux, we show that open strings with end points on D3-branes in a three ...
Dieter Lüst +3 more
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A novel approach to non-commutative gauge theory
Journal of High Energy Physics, 2020 We propose a field theoretical model defined on non-commutative space-time with non-constant non-commutativity parameter Θ(x), which satisfies two main requirements: it is gauge invariant and reproduces in the commutative limit, Θ → 0, the standard U(1 ...
Vladislav G. Kupriyanov, Patrizia Vitale
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Perturbation theory for the logarithm of a positive operator
Journal of High Energy Physics, 2023 In various contexts in mathematical physics, such as out-of-equilibrium physics and the asymptotic information theory of many-body quantum systems, one needs to compute the logarithm of a positive unbounded operator.
Nima Lashkari +2 more
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Wormhole inspired by non-commutative geometry
Physics Letters B, 2015 In the present Letter we search for a new wormhole solution inspired by noncommutative geometry with the additional condition of allowing conformal Killing vectors (CKV).
Farook Rahaman +3 more
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