Results 11 to 20 of about 84,094 (237)
Gauge theories and non‐commutative geometry [PDF]
Fortschritte der Physik, 2006 AbstractIt is shown that a d‐dimensional classical SU(N) Yang‐Mills theory can be formulated in a d+2‐dimensional space, with the extra two dimensions forming a surface with non‐commutative geometry.
Floratos, E.G., Iliopoulos, J.
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On tea, donuts and non-commutative geometry [PDF]
Surveys in Mathematics and its Applications, 2018 As many will agree, it feels good to complement a cup of tea by a donut or two. This sweet relationship is also a guiding principle of non-commutative geometry known as Serre Theorem.
Igor V. Nikolaev
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Modular Theory, Non-Commutative Geometry and Quantum Gravity [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2010 This paper contains the first written exposition of some ideas (announced in a previous survey) on an approach to quantum gravity based on Tomita-Takesaki modular theory and A.
Wicharn Lewkeeratiyutkul +2 more
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SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We review the recent developments of the SUSY quantum Hall effect [hep-th/0409230, hep-th/0411137, hep-th/0503162, hep-th/0606007, arXiv:0705.4527]. We introduce a SUSY formulation of the quantum Hall effect on supermanifolds.
Kazuki Hasebe
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Gravity in non-commutative geometry [PDF]
Communications in Mathematical Physics, 1993 ZU-TH-30/1992 and ETH/TH/92/44, 11 pages. (The earlier version of this paper was the incomplete and unedited file which accidently replaced the corrected file)
Chamseddine, A. H. +2 more
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Non-Commutative Geometry Indomitable
Notices of the American Mathematical Society, 2021 Non-commutative geometry remains indomitable: its applications go from the standard model of particle physics to topological data analysis to number theory to non-commutative motives.
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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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Manifest supersymmetry in non-commutative geometry [PDF]
Journal of High Energy Physics, 2000 We consider the open superstring ending on a D-brane in the presence of a constant NS-NS B field, using the Green-Schwarz formalism. Quantizing in the light-cone gauge, we find that the anti-commutation relations for the fermionic variables of superspace remain unmodified. We also derive the unbroken supersymmetry algebra living on the D-brane.
Chu, Chong-Sun, Zamora, Frederic
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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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