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Source: Journal of physics A: Mathematical and theoretical. 2023. Vol. 56, № 37. P. 375201 (1-15)
Type: статьи в журналах
Date: 2023
Description:
We give a conceptual treatment of the Seiberg–Witten map as a quasi-isomorphism of differential graded algebras. The corresponding algebras have a very simple form, leading to explicit recurrence form
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Source: Journal of physics A: Mathematical and theoretical. 2022. Vol. 55, № 38. P. 384006
Type: статьи в журналах
Date: 2022
Description:
The Poisson gauge theory is a semi-classical limit of full non-commutative gauge theory. In this work we construct an ${mathrm{L}}_{infty }^{ ext{full}}$ algebra which governs both the action of gauge
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Source: Journal of physics A: Mathematical and theoretical. 2022. Vol. 55, № 3. P. 035201
Type: статьи в журналах
Date: 2022
Description:
We formulate general definitions of semi-classical gauge transformations for noncommutative gauge theories in general backgrounds of string theory, and give novel explicit constructions using techniqu
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Source: The European physical journal C. 2020. Vol. 80, № 1. P. 42 (1-17)
Type: статьи в журналах
Date: 2020
Description:
The problem of the consistent definition of gauge
Source: Journal of high energy physics. 2018. № 5. P. 097 (1-45)
Type: статьи в журналах
Date: 2018
Description:
Non-commutative gauge theories with a non-constant NC-parameter are investigated. As a novel approach, we propose that such theories should admit an underlying L$_infty$ algebra, that governs not only
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Source: Physical Review D. 2018. Vol. 98, № 4. P. 045005-1-045005-25
Type: статьи в журналах
Date: 2018
Description:
We construct a symplectic realization of the twisted Poisson structure on the phase space of an electric charge in the background of an arbitrary smooth magnetic monopole density in three dimensions.
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Source: Journal of high energy physics. 2017. № 2. P. 099 (1-43)
Type: статьи в журналах
Date: 2017
Description:
We describe the quantization of a four-dimensional locally non-geometric M-theory background dual to a twisted three-torus by deriving a phase space star product for deformation quantization of quasi-
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Source: Journal of high energy physics. 2015. № 9. P. 103 (1-18)
Type: статьи в журналах
Date: 2015
Description:
Deformation quantization is a formal deformation of the algebra of smooth functions on some manifold. In the classical setting, the Poisson bracket serves as an initial conditions, while the associati
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Source: Journal of high energy physics. 2015. № 8. P. 024 (1-24)
Type: статьи в журналах
Date: 2015
Description:
We consider linear star products on RdRd of Lie algebra type. First we derive the closed formula for the polydifferential representation of the corresponding Lie algebra generators. Using this represe
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