Results 31 to 40 of about 200,382 (172)

On tea, donuts and non-commutative geometry [PDF]

open access: yesSurveys 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
doaj  

Generalized entanglement entropy, charges, and intertwiners

open access: yesJournal of High Energy Physics, 2020
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

Quasi-Homogeneous Black Hole Thermodynamics in Non-Commutative Geometry

open access: yesUniverse
We study the thermodynamic properties of a black hole that takes into account the effects of non-commutative geometry. To emphasize the role of new effects, we have chosen a specific modified Schwarzschild black hole inspired by non-commutative geometry.
Hernando Quevedo, María N. Quevedo
doaj   +1 more source

The Generalised Complex Geometry of $(p,q)$ Hermitian Geometries [PDF]

open access: yes, 2018
We define $(p,q)$ hermitian geometry as the target space geometry of the two dimensional $(p,q)$ supersymmetric sigma model. This includes generalised K\"{a}hler geometry for $(2,2)$, generalised hyperk\"{a}hler geometry for $(4,2)$, strong K\"{a}hler with torsion geometry for $(2,1)$ and strong hyperk\"{a}hler with torsion geometry for $(4,1)$.
arxiv   +1 more source

A Survey on Some Algebraic Characterizations of Hilbert’s Nullstellensatz for Non-commutative Rings of Polynomial Type

open access: yesIngeniería y Ciencia, 2020
In this paper we present a survey of some algebraic characterizations of Hilbert’s Nullstellensatz for non-commutative rings of polynomial type. Using several results established in the literature, we obtain a version of this theorem for the skew ...
Armando Reyes   +1 more
doaj   +1 more source

One-loop corrections to the spectral action

open access: yesJournal of High Energy Physics, 2022
We analyze the perturbative quantization of the spectral action in noncommutative geometry and establish its one-loop renormalizability in a generalized sense, while staying within the spectral framework of noncommutative geometry. Our result is based on
Teun D. H. van Nuland   +1 more
doaj   +1 more source

On the Hilbert Geometry of Convex Polytopes [PDF]

open access: yesIn Handbook of Hilbert Geometry, IRMA Lectures in Mathematics and Theoretical Physics Vol. 22, pp. 111-125, 2014, 2014
We survey the Hilbert geometry of convex polytopes. In particular we present two important characterisations of these geometries, the first one in terms of the volume growth of their metric balls, the second one as a bi-lipschitz class of the simplexe's geometry.
arxiv   +1 more source

Hyperkähler geometry of rational curves in twistor spaces [PDF]

open access: yesarXiv, 2021
We investigate the pseudo-hyperk\"ahler geometry of higher degree rational curves in the twistor space of a hyperk\"ahler $4$-manifold.
arxiv  

Wormhole inspired by non-commutative geometry

open access: yesPhysics 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
doaj  

Approximate treatment of noncommutative curvature in quartic matrix model

open access: yesJournal of High Energy Physics, 2023
We study a Hermitian matrix model with the standard quartic potential amended by a tr(RΦ2) term for fixed external matrix R. This is motivated by a curvature term in the truncated Heisenberg algebra formulation of the Grosse-Wulkenhaar model — a ...
D. Prekrat   +4 more
doaj   +1 more source

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