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Source: Journal of geometry and physics. 2023. Vol. 184. P. 104723 (1-13)
Type: статьи в журналах
Date: 2023
Description:
Whenever a given Poisson manifold is equipped with discrete symmetries the corresponding algebra of invariant functions or the algebra of functions twisted by the symmetry group can have new deformati
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Source: Nuclear physics B. 2023. Vol. 990. P. 116152 (1-48)
Type: статьи в журналах
Date: 2023
Description:
Recently, a unique class of local Higher Spin Gravities with propagating massless fields in 4d – Chiral Higher Spin Gravity – was given a covariant formulation both in flat and spacetimes at the level
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Source: Nuclear physics B. 2022. Vol. 985. P. 115982 (1-24)
Type: статьи в журналах
Date: 2022
Description:
Chiral Higher Spin Gravity with cosmological constant is constructed as a Free Differential Algebra, i.e. at the level of equations of motion, which is a smooth deformation of its flat space cousin [3
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Source: Letters in mathematical physics. 2022. Vol. 112, № 3. P. 61 (1-30)
Type: статьи в журналах
Date: 2022
Description:
We consider inner deformations of families of A∞-algebras. With the help of noncommutative Cartan’s calculus, we prove the invariance of Hochschild (co)homology under inner deformations. The invarianc
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Source: Journal of high energy physics. 2022. Vol. 9. P. 134 (1-31)
Type: статьи в журналах
Date: 2022
Description:
A unique class of local Higher Spin Gravities with propagating massless fields in 4d — Chiral Higher Spin Gravity — was first found in the light-cone gauge. We construct a covariant form of the corres
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Source: Journal of high energy physics. 2022. Vol. 1. P. 97 (1-30)
Type: статьи в журналах
Date: 2022
Description:
We explore a class of CFT’s with higher spin currents and charges. Away from the free or N = ∞ limit the non-conservation of currents is governed by operators built out of the currents themselves, whi
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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: 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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