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Universidade Federal do ABC (UFABC). Centro de Matemática, Computação e Cognição (CMCC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Vladislav Kupriyanov in research grants and scholarships supported by FAPESP.
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Constructing gauge theories on non-commutative spaces of general form is a notoriously difficult problem which attracts attention of theoretical physicists and mathematicians for more then two decades. Nevertheless, it is still not completely understood in full generality. Poisson electrodynamics is a semi-classical limit of non-commutative U(1) gauge theory. In recent years we have formu…
The modern problems of high energy physics call for more and more advanced mathematical concepts, among which noncommutative geometry and strong homotopy algebras seem come to the fore. The present project is aimed at developing and applying these general concepts to the construction of gauge theories on noncommutative spacetime manifolds or with noncommutative target-space geometry. Unt…
The problem of the consistent definition of non-commutative gauge theory on spaces with non-constant non-commutativity parameter attracts attention of theoretical physicists and mathematicians for more than two decades. Nevertheless, this theory is still not completely understood in full generality. In recent years in collaboration with the colleagues from Munich and Edinburgh we have for…
(Only some records are available in English at this moment)
Non-commutative (NC) gauge theories on coordinate-dependent space-time provide a robust framework to investigate deviations from classical physics, particularly when the non-commutativity parameter $\Theta^{ab}(x)$ varies with space-time coordinates. Using the $L_\infty$-algebra formalism, these theories encode higher-order corrections and ensure consistency through generalized Jacobi ide…
Poisson gauge theory is a recently proposed field-theoretical model which describes the semi-classical limit of non-commutative $U(1)$ gauge theory with non-constant non-commutativity parameter $\Theta^{ab}(x)$. In the previous works of the supervisor and collaborators it was formulated a method of the construction of classical particle action which is invariant under the Poisson gauge tr…
Nambu mechanics is a generalization of Hamiltonian mechanics. In the standard Hamiltonian mechanics the equations of motion are formulated in terms of the Poisson bracket and one Hamiltonian. However, some physical systems like the motion of the electrically charged particle in the field of magnetic monopole does not admit a satisfactory description within the Hamiltonian formalism. The N…
The combination of the arguments of quantum mechanics with general relativity indicates that at distances of the order of the Planck wavelength, the space-time loses its structure of continuous and smooth manifold and should be replaced by some kind of non-commutative structure. The main objective of this project is to study the physical consequences of non-commutative, when the commutat…
| 1 / 1 | Ongoing grants |
| 6 / 6 | Completed research grants |
| 2 / 2 | Ongoing scholarships in Brazil |
| 4 / 3 | Completed scholarships in Brazil |
| 13 / 12 | All research grants and scholarships |
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