Results 81 to 90 of about 1,110,578 (250)
Matrix model and Yukawa couplings on the noncommutative torus
Journal of High Energy Physics, 2019 The IKKT model is proposed as a non-perturbative formulation of superstring theory. We propose a Dirac operator on the noncommutative torus, which is consistent with the IKKT model, based on noncommutative geometry.
Masaki Honda
doaj +1 more source
Space and time dimensions of algebras with application to Lorentzian noncommutative geometry and quantum electrodynamics [PDF]
Journal of Mathematics and Physics, 2016 An analogy with real Clifford algebras on even-dimensional vector spaces suggests to assign a couple of space and time dimensions modulo 8 to any algebra (represented over a complex Hilbert space) containing two self-adjoint involutions and an anti ...
Nadir Bizi, C. Brouder, F. Besnard
semanticscholar +1 more source
Twists of twisted generalized Weyl algebras
Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2680-2697, September 2025.Abstract We study graded twisted tensor products and graded twists of twisted generalized Weyl algebras (TGWAs). We show that the class of TGWAs is closed under these operations assuming mild hypotheses. We generalize a result on cocycle equivalence among multiparameter quantized Weyl algebras to the setting of TGWAs.
Jason Gaddis, Daniele Rosso
wiley +1 more source
The Ricci curvature in noncommutative geometry [PDF]
Journal of Noncommutative Geometry, 2016 Motivated by the local formulae for asymptotic expansion of heat kernels in spectral geometry, we propose a definition of Ricci curvature in noncommutative settings.
R. Floricel +2 more
semanticscholar +1 more source
Functorial constructions related to double Poisson vertex algebras
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract For any double Poisson algebra, we produce a double Poisson vertex algebra using the jet algebra construction. We show that this construction is compatible with the representation functor which associates to any double Poisson (vertex) algebra and any positive integer a Poisson (vertex) algebra.
Tristan Bozec +2 more
wiley +1 more source
Gravitational probe of ꝗuantum spacetime
Physics Letters BA quest for phenomenological footprints of quantum gravity is among the central scientific tasks in the rising era of gravitational wave astronomy. We study gravitational wave dynamics within the noncommutative geometry framework, based on a Drinfeld ...
Nikola Herceg +4 more
doaj +1 more source
Universe, 2022 Based on the perturbation expansion, we compute the noncommutative corrections to the minimal surface areas of the pure AdS spacetime and Schwarzschild-AdS black hole, where the noncommutative background is suitably constructed in terms of the Poincaré ...
Zhang-Cheng Liu, Yan-Gang Miao
doaj +1 more source
Noncommutative geometry and Painlevé equations [PDF]
Algebra & Number Theory, 2015 We construct the elliptic Painlev equation and its higher dimensional analogs as the action of line bundles on 1-dimensional sheaves on noncommutative surfaces.
Okounkov, Andrei, Rains, Eric
openaire +4 more sources
Path Integral Spin Dynamics for Quantum Paramagnets
Advanced Physics Research, Volume 4, Issue 8, August 2025.The study has developed a path integral method, which is a classical approach, combined with atomistic spin dynamics simulations to calculate thermal quantum expectation values. This method can handle Hamiltonians with non‐linear terms, which are important for describing uniaxial anisotropies and mechanical constraints.
Thomas Nussle +2 more
wiley +1 more source
Heisenberg‐smooth operators from the phase‐space perspective
Mathematische Nachrichten, Volume 298, Issue 8, Page 2845-2866, August 2025.Abstract Cordes' characterization of Heisenberg‐smooth operators bridges a gap between the theory of pseudo‐differential operators and quantum harmonic analysis (QHA). We give a new proof of the result by using the phase‐space formalism of QHA. Our argument is flexible enough to generalize Cordes' result in several directions: (1) we can admit general ...
Robert Fulsche, Lauritz van Luijk
wiley +1 more source