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A Borel-Weil theorem for the quantum Grassmannians
projective geometry. A number of applications to the noncommutative Kähler geometryWe establish a noncommutative generalisation of the Borel–Weil theorem is formulated in the framework of quantum principal bundles...
Pure mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A Borel-Weil theorem for the quantum Grassmannians
projective geometry. A number of applications to the noncommutative Kähler geometryWe establish a noncommutative generalisation of the Borel–Weil theorem is formulated in the framework of quantum principal bundles...
Pure mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Noncommutative geometry and the particle content of the universe
The idea of incorporating the particle content of a field theory as a mild noncommutativity in its geometry is revisited. An adjustment to the Lorentzian signature of the universe is discussed....
BA - Obecná matematika
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
On the Generalized Geometry Origin of Noncommutative Gauge Theory
We discuss noncommutative gauge theory from the generalized geometry point noncommutative DBI actions is naturally encoded in the generalized geometry of D-branes. We discuss noncommutative gauge theory fr...
BE - Teoretická fyzika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
S-duality, Noncritical Open String and Noncommutative Gauge Theory
We examine several aspects of S-duality of four-dimensional noncommutative of noncommutative gauge theory is defined in terms of dual noncommutative deformation. In `magnetic' noncommutative U(1) gauge theory, we s...
BF - Elementární částice a fyzika vysokých energií
- 2000 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Positive line modules over the irreducible quantum flag manifolds
Noncommutative Kähler structures were recently introduced as a framework for studying noncommutative Kähler geometry on quantum homogeneous spaces. It was subsequently observed that the notion of a positive vector bundle di...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Noncommutative coherent states and related aspects of Berezin-Toeplitz quantization
In this paper, we construct noncommutative coherent states using various families of unitary irreducible representations (UIRs) of G(nc), a connected, simply of noncommutative quantum mechanics for a system of two degrees of freedom...
Pure mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Phase transitions in a φ4 matrix model on a curved noncommutative space
In this contribution, we summarize our recent studies of the phase structure of the Grosse-Wulkenhaar model and its connection to renormalizability. Its action contains a special term that couples the field to the curvature of the noncommutative<...
Astronomy (including astrophysics,space science)
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Generally covariant quantum mechanics on noncommutative configuration spaces
We generalize the previously given algebraic version of "Feynman's proof of Maxwell's equations" to noncommutative configuration spaces. By doing so, we also obtain an axiomatic formulation of nonrelativistic quantum mechanics over such spac...
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Extended generalized geometry and a DBI-type effective action for branes ending on branes
Starting from the Nambu-Goto bosonic membrane action, we develop a geometric description suitable for p-brane backgrounds. With tools of generalized geometry we derive-classical noncommutativity of D-branes governed by a Poisson ten...
BE - Teoretická fyzika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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