Results 21 to 30 of about 525 (181)
Topological Charge of Noncommutative ADHM Instanton [PDF]
Modern Physics Letters A, 2003 We analytically calculate the topological charge of general noncommutative U (N) instantons using the Corrigan's identity and find that the result is exactly the instanton number k, which appears in the noncommutative ADHM construction as the dimension of the vector space V. This result coincides with the corresponding fact in the commutative case.
Tian, Yu +2 more
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Noncommutative Koszul algebras from combinatorial topology [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2010 Associated to any uniform finite layered graph Gamma there is a noncommutative graded quadratic algebra A(Gamma) given by a construction due to Gelfand, Retakh, Serconek and Wilson. It is natural to ask when these algebras are Koszul. Unfortunately, a mistake in the literature states that all such algebras are Koszul.
Cassidy, Thomas +2 more
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Golod-Shafarevich algebras, free subalgebras and Noetherian images [PDF]
, 2012 It is shown that Golod–Shafarevich algebras of a reduced number of defining relations contain noncommutative free subalgebras in two generators, and that these algebras can be homomorphically mapped onto prime, Noetherian algebras with linear growth.
Agata Smoktunowicz, Smoktunowicz, Agata
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TOPOLOGICAL STRINGS ON NONCOMMUTATIVE MANIFOLDS [PDF]
International Journal of Geometric Methods in Modern Physics, 2004 We identify a deformation of the N=2 supersymmetric sigma model on a Calabi–Yau manifold X which has the same effect on B-branes as a noncommutative deformation of X. We show that for hyperkähler X such deformations allow one to interpolate continuously between the A-model and the B-model.
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Projective Dirac Operators, Twisted K-Theory, and Local Index Formula [PDF]
, 2011 We construct a canonical noncommutative spectral triple for every oriented closed Riemannian manifold, which represents the fundamental class in the twisted K-homology of the manifold.
Zhang, D., Zhang, Dapeng, Dapeng Zhang
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Noncommutative Topological Entropy of Endomorphisms of Cuntz Algebras [PDF]
Letters in Mathematical Physics, 2008 Noncommutative topological entropy estimates are obtained for polynomial gauge invariant endomorphisms of Cuntz algebras, generalising known results for the canonical shift endomorphisms. Exact values for the entropy are computed for a class of permutative endomorphisms related to branching function systems introduced and studied by Bratteli, Jorgensen
Skalski, Adam, Zacharias, Joachim
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Emergent fuzzy geometry and fuzzy physics in four dimensions
Nuclear Physics B, 2017 A detailed Monte Carlo calculation of the phase diagram of bosonic mass-deformed IKKT Yang–Mills matrix models in three and six dimensions with quartic mass deformations is given.
Badis Ydri, Ahlam Rouag, Khaled Ramda
doaj +1 more source
Discrete dynamics on noncommutative CW complexes [PDF]
, 2013 [EN] The concept of discrete multivalued dynamical systems for noncommutative CW complexes is developed. Stable and unstable manifolds are introduced and their role in geometric and topological configurations of noncommutative CW complexes is studied ...
Mansourbeigi, Seyed M.H. +4 more
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Floquet many-body engineering: topology and many-body physics in phase space lattices
New Journal of Physics, 2018 Hamiltonians which are inaccessible in static systems can be engineered in periodically driven many-body systems, i.e., Floquet many-body systems. We propose to use interacting particles in a one-dimensional (1D) harmonic potential with periodic kicking ...
Pengfei Liang +2 more
doaj +1 more source
A new description of equivariant cohomology for totally disconnected groups [PDF]
, 2008 We consider smooth actions of totally disconnected groups on simplicial complexes and compare different equivariant cohomology groups associated to such actions.
Voigt, C.
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