Results 41 to 50 of about 2,653 (209)
Kähler-Einstein metrics: Old and New
We present classical and recent results on Kähler-Einstein metrics on compact complex manifolds, focusing on existence, obstructions and relations to algebraic geometric notions of stability (K-stability).
Angella Daniele, Spotti Cristiano
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Quantum geometry and X-wave magnets with X = p, d, f, g, i
Quantum geometry is a differential geometry based on quantum mechanics. It is related to various transport and optical properties in condensed matter physics.
Motohiko Ezawa
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Information geometry encoded in bulk geometry
We study how information geometry is described by bulk geometry in the gauge/gravity correspondence. We consider a quantum information metric that measures the distance between the ground states of a CFT and a theory obtained by perturbing the CFT.
Asato Tsuchiya, Kazushi Yamashiro
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We demonstrate how Quantum Cognition Machine Learning (QCML) encodes data as quantum geometry. In QCML, features of the data are represented by learned Hermitian matrices, and data points are mapped to states in Hilbert space. The quantum geometry description endows the dataset with rich geometric and topological structure - including intrinsic ...
Alexander G. Abanov +11 more
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On the geometry of the quantum poincaré group [PDF]
We review the construction of the multiparametric inhomogeneous orthogonal quantum group ISO_qr(N) as a projection from SO_qr(N+2), and recall the conjugation that for N=4 leads to the quantum Poincare group. We study the properties of the universal enveloping algebra U_qr(iso(N)), and give an R-matrix formulation.
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Ferroelectricity in Antiferromagnetic Wurtzite Nitrides
We establish MnSiN2${\rm MnSiN}_2$ and MnGeN2${\rm MnGeN}_2$ as aristotypes of a new multiferroic wurtzite family that simultaneously exhibits ferroelectricity and antiferromagnetism with altermagnetic spin splitting. By strategically substituting alkaline‐earth metals, we predict new materials with coexisting switchable polarization, spin texture, and
Steven M. Baksa +3 more
wiley +1 more source
Group Field Theory Condensate Cosmology: An Appetizer
This contribution is an appetizer to the relatively young and fast-evolving approach to quantum cosmology based on group field theory condensate states. We summarize the main assumptions and pillars of this approach which has revealed new perspectives on
Andreas G. A. Pithis +1 more
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Quantum work and information geometry of a quantum Myers-Perry black hole
In this paper, we will obtain quantum work for a quantum scale five dimensional Myers-Perry black hole. Unlike heat represented by Hawking radiation, the quantum work is represented by a unitary information preserving process, and becomes important for ...
Behnam Pourhassan +3 more
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New Advances in Quantum Geometry
Presently, we are in a period of rapid and intensive changes in our understanding of the gravitational interaction, triggered by the important observational findings of the late 1990s [...]
Shi-Dong Liang +2 more
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Polarizable Vanadium Dipoles Promote Water Dissociation on Vanadium‐Based Metal Organic Framework
The polarization of unpaired V 3d electrons weakens the H─O bond to improve water dissociation by the dual Vδ+:O─H and Pλ−:H─O coupling hydrogen bonds formation and relaxation. P@V‐MOF electrocatalyst shows low overpotentials (94 mV in acid, 178 mV in neutral, and 77 mV in alkaline solutions) with excellent stability for effective overall water ...
Xinjuan Liu +13 more
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