Zobrazeno 1 - 10
of 212
pro vyhledávání: '"Nersessian, Armen"'
We give a Hamiltonian formulation of the new model of $\mathcal{N}=8$ supersymmetric mechanics recently proposed by S.Fedoruk and E.Ivanov and show that it possesses the dynamical $\mathcal{N}=8$ superconformal symmetry $osp(8|2)$. The bosonic part o
Externí odkaz:
http://arxiv.org/abs/2408.14958
We consider the propagation of polarized light in the medium with an isotropic refraction index profile and show that polarization violates the additional symmetries of the medium. Then we suggest a scheme for the construction of polarization-depende
Externí odkaz:
http://arxiv.org/abs/2210.00452
Publikováno v:
Phys. Lett. A, 452, 128442 (2022)
Recently A.Galajinsky has suggested the N=1 supersymmetric extension of Euler top and made a few interesting observations on its properties [arXiv:2111.06083 [hep-th]]. In this paper we use the formulation of the Euler top as a system on complex proj
Externí odkaz:
http://arxiv.org/abs/2204.12975
Publikováno v:
Phys. Rev. A ,105, 025007(2022)
We suggest the $su(1,N|M)$-superconformal mechanics formulated in terms of phase superspace given by the non-compact analogue of complex projective superspace $\mathbb{CP}^{N|M}$. We parameterized this phase space by the specific coordinates allowing
Externí odkaz:
http://arxiv.org/abs/2110.11711
Publikováno v:
Phys. Rev. A , 104, 053502 (2021)
We consider the propagation of polarized light in the medium with Maxwell fish eye refraction index profile. We show that polarization violates the additional symmetries of medium, so that ray trajectories no longer remain closed. Then we suggest a m
Externí odkaz:
http://arxiv.org/abs/2106.15465
Publikováno v:
JHEP 01 (2021) 015
We study quantum properties of SU$(2|1)$ supersymmetric (deformed ${\cal N}=4$, $d=1$ supersymmetric) extension of the superintegrable Smorodinsky--Winternitz system on a complex Euclidian space $\mathbb{C}^N$. The full set of wave functions is const
Externí odkaz:
http://arxiv.org/abs/2009.14273
We propose the description of superintegrable models with dynamical $so(1.2)$ symmetry, and of the generic superintegrable deformations of oscillator and Coulomb systems in terms of higher-dimensional Klein model (the non-compact analog of complex pr
Externí odkaz:
http://arxiv.org/abs/2003.10002
Publikováno v:
Phys. Rev. A 101, 023840 (2020)
We examine additional symmetries of specific refraction index profiles that are used in the well-known phenomena of perfect imaging and cloaking.In the considered cases, the translation generator and the angular momentum are conserved. We express the
Externí odkaz:
http://arxiv.org/abs/2001.04336
Publikováno v:
Phys. Rev. D 101, 025003 (2020)
Based on the systematic Hamiltonian and superfield approaches we construct the deformed $\mathcal{N}=4,8$ supersymmetric mechanics on K\"ahler manifolds interacting with constant magnetic field, and study their symmetries. At first we construct the d
Externí odkaz:
http://arxiv.org/abs/1911.06290
Publikováno v:
Phys. Rev. D 101, 045002 (2020)
We construct the $\mathcal{N}=8$ supersymmetric mechanics with potential term whose configuration space is the special K\"ahler manifold of rigid type and show that it can be viewed as the K\"ahler counterpart of $\mathcal{N}=4$ mechanics related to
Externí odkaz:
http://arxiv.org/abs/1908.06490