Zobrazeno 1 - 10
of 396
pro vyhledávání: '"Kupriyanov, V."'
We consider gauge theories on Poisson manifolds emerging as semiclassical approximations of noncommutative spacetime with Lie algebra type noncommutativity. We prove an important identity, which allows to obtain simple and manifestly gauge-covariant
Externí odkaz:
http://arxiv.org/abs/2304.04857
The semiclassical limit of full non-commutative gauge theory is known as Poisson gauge theory. In this work we revise the construction of Poisson gauge theory paying attention to the geometric meaning of the structures involved and advance in the dir
Externí odkaz:
http://arxiv.org/abs/2209.13044
The Poisson gauge theory is a semi-classical limit of full non-commutative gauge theory. In this work we construct an L$_\infty^{full}$ algebra which governs both the action of gauge symmetries and the dynamics of the Poisson gauge theory. We derive
Externí odkaz:
http://arxiv.org/abs/2202.10227
Publikováno v:
J. High Energ. Phys. 2021, 102 (2021)
We construct a non-commutative kappa-Minkowski deformation of U(1) gauge theory, following a general approach, recently proposed in JHEP 2008 (2020) 041. We obtain an exact (all orders in the non-commutativity parameter) expression for both the defor
Externí odkaz:
http://arxiv.org/abs/2010.09863
Akademický článek
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Autor:
Kupriyanov, V. G.
Publikováno v:
Nucl.Phys. B910 (2016) 240-258
Non-commutativity and non-associativity are quite natural in string theory. For open strings it appear due to the presence of non-vanishing background two-form in the world volume of Dirichlet brane, while in closed string theory the flux compactific
Externí odkaz:
http://arxiv.org/abs/1606.01409
Autor:
Kupriyanov, V. G.
Publikováno v:
PoS(CORFU2015)129
Some physical systems like the quantum mechanics with magnetic charges or field theoretical models appearing in the context of string theory are formulated in terms of non-associative algebras. Hence, demand non-associative star products for its desc
Externí odkaz:
http://arxiv.org/abs/1603.00218
Autor:
Kupriyanov, V. G., Vassilevich, D. V.
Publikováno v:
JHEP09(2015)103
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 associativity allows to proceed to higher orders. Some appl
Externí odkaz:
http://arxiv.org/abs/1506.02329
Autor:
Kupriyanov, V. G., Vitale, P.
Publikováno v:
JHEP 08 (2015) 024
We consider linear star products on $R^d$ of Lie algebra type. First we derive the closed formula for the polydifferential representation of the corresponding Lie algebra generators. Using this representation we define the Weyl star product on the du
Externí odkaz:
http://arxiv.org/abs/1502.06544
Akademický článek
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