Results 41 to 50 of about 84,094 (237)
Monopole star products are non-alternative
Non-associative algebras appear in some quantum-mechanical systems, for instance if a charged particle in a distribution of magnetic monopoles is considered.
Martin Bojowald +3 more
doaj +1 more source
Generalized entanglement entropy, charges, and intertwiners
The entanglement theory in quantum systems with internal symmetries is rich due to the spontaneous creation of entangled pairs of charge/anti-charge particles at the entangling surface.
Keiichiro Furuya +2 more
doaj +1 more source
Poisson gauge models and Seiberg-Witten map
The semiclassical limit of full non-commutative gauge theory is known as Poisson gauge theory. In this work we revise the construction of Poisson gauge theory paying attention to the geometric meaning of the structures involved and advance in the ...
V. G. Kupriyanov +2 more
doaj +1 more source
Linear connections in non-commutative geometry [PDF]
A construction is proposed for linear connections on non-commutative algebras. The construction relies on a generalisation of the Leibnitz rules of commutative geometry and uses the bimodule structure of $Ω^1$. A special role is played by the extension to the framework of non-commutative geometry of the permutation of two copies of $Ω^1$.
openaire +3 more sources
Non-commutative geometry and the strong force [PDF]
The restrictions imposed on the strong force in the `non-commutative standard model' are examined. It is concluded that given the framework of non-commutative geometry and assuming the electroweak sector of the standard model many details of the strong force can be explained including its vectorial nature.
openaire +2 more sources
Pseudo-Riemannian structures in Pati-Salam models
We discuss the role of the pseudo-Riemannian structure of the finite spectral triple for the family of Pati-Salam models. We argue that its existence is a very restrictive condition that separates leptons from quarks, and restricts the whole family of ...
A. Bochniak, T.E. Williams, P. Zalecki
doaj +1 more source
A commutative noncommutative fractal geometry
In this thesis examples of spectral triples, which represent fractal sets, are examined and new insights into their noncommutative geometries are obtained.
Samuel, Tony; id_orcid, Samuel, Anthony
core +1 more source
This work presents a comprehensive analysis of the geodesic motion, scalar field perturbations, and thermodynamic behavior of a static, spherically symmetric black hole solution arising within the framework of non-commutative geometry and incorporating ...
Faizuddin Ahmed +2 more
doaj +1 more source
Brane tilings and non-commutative geometry [PDF]
We derive the quiver gauge theory on the world-volume of D3-branes transverse to an L(a,b,c) singularity by computing the endomorphism algebra of a tilting object first constructed by Van den Bergh. The quiver gauge theory can be concisely specified by an embedding of a graph into a face-centered cubic lattice.
openaire +3 more sources
Noncommutative resolutions of ADE fibered Calabi-Yau threefolds [PDF]
In this paper we construct noncommutative resolutions of a certain class of Calabi-Yau threefolds studied by F. Cachazo, S. Katz and C. Vafa. The threefolds under consideration are fibered over a complex plane with the fibers being deformed Kleinian ...
Boer, A.L. +5 more
core +1 more source

