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Source: Journal of noncommutative geometry. 2021. Vol. 15, № 1. P. 223-240
Type: статьи в журналах
Date: 2021
Description:
We propose a simple method for constructing formal deformations of differential graded algebras in the category of minimal A∞-algebras. The basis for our approach is provided by the Gerstenhaber algeb
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Source: Nuclear physics B. 2021. Vol. 972. P. 115551 (1-56)
Type: статьи в журналах
Date: 2021
Description:
As a step towards quantization of Higher Spin Gravities we construct the presymplectic AKSZ sigma-model for 4d Higher Spin Gravity which is AdS/CFT dual of Chern–Simons vector models. It is shown that
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Source: Theoretical and Mathematical Physics. 2020. Vol. 204, № 2. P. 1079-1092
Type: статьи в журналах
Date: 2020
Description:
We consider the problem of deformation quantization of presymplectic manifolds in the framework of the Fedosov method. A class of special presymplectic manifolds is distinguished for which such a quan
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Source: Letters in mathematical physics. 2019. Vol. 109, № 3. P. 623-641
Type: статьи в журналах
Date: 2019
Description:
We propose a simple approach to formal deformations of associative algebras. It exploits the machinery of multiplicative coresolutions of an associative algebra A in the category of A-bimodules. Speci
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Source: Nuclear physics B. 2019. Vol. 941. P. 838-860
Type: статьи в журналах
Date: 2019
Description:
We present a complete solution to the problem of Formal Higher Spin Gravities — formally consistent field equations that gauge a given higher spin algebra and describe free higher spin fields upon lin
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Source: Journal of geometry and physics. 2017. Vol. 116. P. 330-344
Type: статьи в журналах
Date: 2017
Description:
We detail the construction of a weak Poisson bracket over a submanifold Σ of a smooth manifold M with respect to a local foliation of this submanifold. Such a bracket satisfies a weak type Jacobi iden
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Source: The European physical journal C. 2016. Vol. 76, № 6. P. 305 (1-16)
Type: статьи в журналах
Date: 2016
Description:
A natural presymplectic structure for non-Lagrangian equations of motion governing the dynamics of free higher-spin fields in four-dimensional anti-de Sitter space is proposed. This presymplectic stru
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Source: Symmetry, integrability and geometry: methods and applications. 2016. Vol. 12. P. 098 (1-24)
Type: статьи в журналах
Date: 2016
Description:
Using the concept of variational tricomplex endowed with a presymplectic structure, we formulate the general notion of symmetry. We show that each generalized symmetry of a gauge system gives rise to
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Source: Journal of geometry and physics. 2015. Vol. 97. P. 227-242
Type: статьи в журналах
Date: 2015
Description:
A simple algorithm is proposed for constructing generators of gauge symmetry as well as reducibility relations for arbitrary systems of partial differential equations in two dimensions.
Source: Russian physics journal. 2015. Vol. 58, № 7. P. 959-964
Type: статьи в журналах
Date: 2015
Description:
We prove that the differential equation for the null-curves of pseudo-Euclidean space R^{2,n} defines a flat dynamical system in the sense of optimal control theory. The connection with general gauge
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Source: International journal of modern physics A. 2015. Vol. 30, № 25. P. 1550152-1-1550152-32
Type: статьи в журналах
Date: 2015
Description:
We introduce the concept of a variational tricomplex, which is applicable both to variational and non-variational gauge systems. Assigning this tricomplex with an appropriate symplectic structure and
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Source: The European physical journal C. 2014. Vol. 74. P. 3074 (1-19)
Type: статьи в журналах
Date: 2014
Source: Nuclear physics B. 2014. Vol. 881. P. 248-268
Type: статьи в журналах
Date: 2014
Source: Journal of geometry and physics. 2013. Vol. 74. P. 164-184
Type: статьи в журналах
Date: 2013
Source: Journal of high energy physics. 2013. № 1. P. 97 (1-30)
Type: статьи в журналах
Date: 2013
