Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Anton Sutulin"'
Publikováno v:
Physics Letters B, Vol 831, Iss , Pp 137184- (2022)
We analyze the integrability of the N-extended supersymmetric Calogero–Moser model. We explicitly construct the Lax pair {L,A} for this system, which properly reproduces all equations of motion. After adding a supersymmetric oscillator potential we
Externí odkaz:
https://doaj.org/article/de2762f2710d4195aa6ae94b144534d6
Publikováno v:
Journal of High Energy Physics, Vol 2020, Iss 5, Pp 1-15 (2020)
Abstract Starting from the Hamiltonian formulation of N $$ \mathcal{N} $$ = 2 supersymmetric Calogero models associated with the classical A n , B n , C n and D n series and their hyperbolic/trigonometric cousins, we provide their superspace descript
Externí odkaz:
https://doaj.org/article/715b9a0da6524ca199bdea2e86a9fe9c
Publikováno v:
Physics Letters B, Vol 791, Iss , Pp 385-389 (2019)
We present a surprising redefinition of matrix fermions which brings the supercharges of the N-extended supersymmetric An−1 Calogero model introduced in [1] to the standard form maximally cubic in the fermions. The complexity of the model is transf
Externí odkaz:
https://doaj.org/article/eb447fd99d1f4198baddcfef8ce708d2
Publikováno v:
Physics Letters B, Vol 790, Iss , Pp 191-196 (2019)
We explicitly construct a supersymmetric so(n) spin-Calogero model with an arbitrary even number N of supersymmetries. It features 12Nn(n+1) rather than Nn fermionic coordinates and a very simple structure of the supercharges and the Hamiltonian. The
Externí odkaz:
https://doaj.org/article/5fb476b950d2465382a5228cd0a5b203
Publikováno v:
Physics Letters B, Vol 784, Iss , Pp 137-141 (2018)
We propose a new N-extended supersymmetric su(n) spin-Calogero model. Employing a generalized Hamiltonian reduction adopted to the supersymmetric case, we explicitly construct a novel rational n-particle Calogero model with an arbitrary even number o
Externí odkaz:
https://doaj.org/article/942b1b4d1123411f84efaaed2057b57c
Publikováno v:
Journal of High Energy Physics, Vol 2018, Iss 5, Pp 1-10 (2018)
Abstract We present SU(2|1) supersymmetric mechanics on n-dimensional Riemannian manifolds within the Hamiltonian approach. The structure functions including prepotentials entering the supercharges and the Hamiltonian obey extended curved WDVV equati
Externí odkaz:
https://doaj.org/article/0099e49a42064c63a6b8fb8bf01e4114
Autor:
Anton Sutulin
Publikováno v:
Proceedings of RDP online workshop "Recent Advances in Mathematical Physics" — PoS(Regio2020).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ada900e5194bb9006b45eb3644e84cac
https://doi.org/10.22323/1.394.0017
https://doi.org/10.22323/1.394.0017
Publikováno v:
Physics Letters
Physics Letters B, Vol 791, Iss, Pp 385-389 (2019)
Physics Letters B 791 (2019)
Physics Letters B, Vol 791, Iss, Pp 385-389 (2019)
Physics Letters B 791 (2019)
We present a surprising redefinition of matrix fermions which brings the supercharges of the $\cal N$-extended supersymmetric $A_{n-1}$ Calogero model introduced in [1] to the standard form maximally cubic in the fermions. The complexity of the model
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b2dd823a5a1ea3debc77026ccb979da
http://repo.scoap3.org/api
http://repo.scoap3.org/api
Publikováno v:
Physics Letters
Physics Letters B, Vol 790, Iss, Pp 191-196 (2019)
Physics Letters B 790 (2019)
Physics Letters B, Vol 790, Iss, Pp 191-196 (2019)
Physics Letters B 790 (2019)
We explicitly construct a supersymmetric $so(n)$ spin-Calogero model with an arbitrary even number $\cal N$ of supersymmetries. It features $\frac{1}{2}{\cal N}n(n{+}1)$ rather than ${\cal N}n$ fermionic coordinates and a very simple structure of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c17db6b126f738bdb6da44a19434209
Publikováno v:
Physical Review
We present ${\cal N}{=}\,4$ supersymmetric mechanics on $n$-dimensional Riemannian manifolds constructed within the Hamiltonian approach. The structure functions entering the supercharges and the Hamiltonian obey modified covariant constancy equation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b69b7c2860d630735737887d99667d83
http://repo.scoap3.org/api
http://repo.scoap3.org/api