Zobrazeno 1 - 10
of 118
pro vyhledávání: '"Sharapov, Alexey A."'
Massless higher-spin fields show no preference for any value of the cosmological constant in $3d$. All matter-free higher-spin gravities in 3d are equivalent to Chern-Simons theories with an appropriate choice of gauge algebra. For various reasons, i
Externí odkaz:
http://arxiv.org/abs/2409.12830
We consider a semi-classical approximation to the dynamics of a point particle in a noncommutative space. In this approximation, the noncommutativity of space coordinates is described by a Poisson bracket. For linear Poisson brackets, the correspondi
Externí odkaz:
http://arxiv.org/abs/2405.09348
Autor:
Sharapov, Alexey A.
Publikováno v:
J. Phys. A: Math. Theor. 57 (2024) 315401 (20pp)
Poisson electrodynamics is the low-energy limit of a rank-one noncommutative gauge theory. It admits a closed formulation in terms of a Poisson structure on the space-time manifold and reproduces ordinary classical electrodynamics in the commutative
Externí odkaz:
http://arxiv.org/abs/2402.14439
Chiral higher spin gravity is defined in terms of a strong homotopy algebra of pre-Calabi-Yau type (noncommutative Poisson structure). All structure maps are given by the integrals over the configuration space of concave polygons and the first two ma
Externí odkaz:
http://arxiv.org/abs/2312.16573
Autor:
Elfimov, Boris M., Sharapov, Alexey A.
We construct a Wick-type deformation quantization of contact metric manifolds. The construction is fully canonical and involves no arbitrary choice. Unlike the case of symplectic or Poisson manifolds, not every classical observable on a general conta
Externí odkaz:
http://arxiv.org/abs/2311.12767
We explicitly construct an L$_\infty$ algebra that defines U$_{\star}(1)$ gauge transformations on a space with an arbitrary non-commutative and even non-associative star product. Matter fields are naturally incorporated in this scheme as L$_\infty$
Externí odkaz:
http://arxiv.org/abs/2309.15323
We develop a geometric approach to Poisson electrodynamics, that is, the semi-classical limit of noncommutative $U(1)$ gauge theory. Our framework is based on an integrating symplectic groupoid for the underlying Poisson brackets, which we interpret
Externí odkaz:
http://arxiv.org/abs/2308.07406
Autor:
Sharapov, Alexey, Shcherbatov, David
Publikováno v:
J. Phys. A: Math. Theor. 57 (2024) 015210 (22pp)
We address the problem of the existence of a Lagrangian for a given system of linear PDEs with constant coefficients. As a subtask, this involves bringing the system into a pre-Lagrangian form, wherein the number of equations matches the number of un
Externí odkaz:
http://arxiv.org/abs/2308.02074
We give a conceptual treatment of the Seiberg-Witten map as a quasi-isomorphism of $A_\infty$-algebras.
Comment: 17 pages, v.2 - references added
Comment: 17 pages, v.2 - references added
Externí odkaz:
http://arxiv.org/abs/2302.07175
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 $(A)dS_4$ spacetimes at the level of equations of motion. We unfold the
Externí odkaz:
http://arxiv.org/abs/2209.15441