Zobrazeno 1 - 10
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pro vyhledávání: '"Sidorov, Stepan"'
Autor:
Sidorov, Stepan
We consider a reducible ${\cal N}=4$, $d=1$ multiplet described by a real superfield as a coupling of the mirror ${\bf (1, 4, 3)}$ and ordinary ${\bf (3, 4, 1)}$ multiplets. Employing this so-called "long multiplet", we construct a coupled system of
Externí odkaz:
http://arxiv.org/abs/2410.11618
Autor:
Ivanov, Evgeny, Sidorov, Stepan
We consider a new type of ${\cal N}=4$, $d=1$ semi-dynamical multiplet based on the non-linear version of the mirror multiplet ${\bf (3, 4, 1)}$, with the triplet of bosonic physical fields parametrizing a three-dimensional sphere $S^3$ of the radius
Externí odkaz:
http://arxiv.org/abs/2311.11768
Autor:
Ivanov, Evgeny, Sidorov, Stepan
We construct models of coupled semi-dynamical (spin) and dynamical mirror multiplets of ${\cal N}=4$ supersymmetric mechanics in $d=1$ harmonic superspace. Specifically, we consider a semi-dynamical mirror multiplet ${\bf (3,4,1)}$ coupled to dynamic
Externí odkaz:
http://arxiv.org/abs/2112.04420
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
Autor:
Sidorov, Stepan
We construct SU$(2|1)$, $d=1$ supersymmetric models based on the coupling of dynamical and semi-dynamical (spin) multiplets, where the interaction term of both multiplets is defined on the generalized chiral superspace. The dynamical multiplet is def
Externí odkaz:
http://arxiv.org/abs/2003.01023
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
Autor:
Sidorov, Stepan
We consider quantum models corresponding to superymmetrizations of the two-dimensional harmonic oscillator based on worldline $d=1$ realizations of the supergroup SU$(\,{\cal N}/2\,|1)$, where the number of supersymmetries ${\cal N}$ is arbitrary eve
Externí odkaz:
http://arxiv.org/abs/1910.00198
We construct new models of `curved' SU$(4|1)$ supersymmetric mechanics based on two versions of the off-shell multiplet ${\bf(8,8,0)}$ which are `mirror' to each other. The worldline realizations of the supergroup SU$(4|1)$ are treated as a deformati
Externí odkaz:
http://arxiv.org/abs/1807.11804
${\rm SU}(2|1)$ supersymmetric multi-particle quantum mechanics with additional semi-dynamical spin degrees of freedom is considered. In particular, we provide an $\mathcal{N}{=}\,4$ supersymmetrization of the quantum ${\rm U}(2)$ spin Calogero-Moser
Externí odkaz:
http://arxiv.org/abs/1801.00206
We quantize the one-particle model of the ${\rm SU}(2|1)$ supersymmetric multi-particle mechanics with the additional semi-dynamical spin degrees of freedom. We find the relevant energy spectrum and the full set of physical states as functions of the
Externí odkaz:
http://arxiv.org/abs/1710.02130