Zobrazeno 1 - 10 of 95 pro vyhledávání: '"Armen Sergeev"'
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Akademický článek
Twistor Interpretation of Harmonic Spheres and Yang–Mills Fields
Autor: Armen Sergeev
Publikováno v: Mathematics, Vol 3, Iss 1, Pp 47-75 (2015)
We consider the twistor descriptions of harmonic maps of the Riemann sphere into Kähler manifolds and Yang–Mills fields on four-dimensional Euclidean space. The motivation to study twistor interpretations of these objects comes from the harmonic s
Externí odkaz: https://doaj.org/article/75f8ed6244fe4eaa9cd66efb9f6ed8c4
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4
On mathematical problems in the theory of topological insulators
Autor: Armen Sergeev
Publikováno v: Theoretical and Mathematical Physics. 208:1144-1155
In this paper, we pay the main attention to the topological insulators invariant under time reversal. Such systems are characterized by having a wide energy gap stable under small deformations. An example of such systems is provided by the quantum sp
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::23d42ac6290df665ce580b29a2f27eb4
https://doi.org/10.1134/s0040577921080109
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6
Quantization of the theory of half-differentiable strings
Autor: Armen Sergeev
Publikováno v: Theoretical and Mathematical Physics. 203:621-630
The problem of quantizing the space Ωd of smooth loops taking values in the d-dimensional vector space can be solved in the framework of the standard Dirac approach. But a natural symplectic form on Ωd can be extended to the Hilbert completion of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5b8ecbb553d0d24b5362c49745d6674e
https://doi.org/10.1134/s0040577920050050
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7
Квантование теории полудифференцируемых струн
Autor: Armen Sergeev
Publikováno v: Teoreticheskaya i Matematicheskaya Fizika. 203:220-230
Задача квантования пространства $\Omega_d$ гладких петель, принимающих значения в $d$-мерном векторном пространстве, может решаться в рамках
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::bcbee1ca264ce7fb3b63c83baa662b0e
https://doi.org/10.4213/tmf9872
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8
In search of infinite-dimensional Kähler geometry
Autor: Armen Sergeev
Publikováno v: Russian Mathematical Surveys. 75:321-367
This paper is devoted to a survey of recent results in the Kähler geometry of infinite-dimensional Kähler manifolds. Three particular classes of such manifolds are investigated: the loop spaces of compact Lie groups, Hilbert–Schmidt Grassmannians
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d30b10d9e3f89888fef3c2a91767b8b3
https://doi.org/10.1070/rm9919
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9
Adiabatic limit in Ginzburg—Landau and Seiberg—Witten equations
Autor: Armen Sergeev
Publikováno v: Theoretical and Mathematical Physics. 203:561-568
We present the concept of an adiabatic limit of Ginzburg—Landau dynamical equations on ℝ1+2 and Seiberg—Witten equations on four-dimensional symplectic manifolds. We show that the Seiberg—Witten equations can be regarded as a complex version
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::90b9485f4570682c690952f37719e08c
https://doi.org/10.1134/s004057792004011x
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