Zobrazeno 1 - 10
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pro vyhledávání: '"Inozemtsev, A."'
Autor:
Chalykh, Oleg
We show that the Inozemtsev spin chain is integrable. The conserved quantities (commuting Hamiltonians) are constructed using elliptic Dunkl operators. We also suggest a generalisation.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/2407.03276
Autor:
Klabbers, Rob, Lamers, Jules
Publikováno v:
SciPost Phys. 17, 155 (2024)
The Inozemtsev chain is an exactly solvable interpolation between the short-range Heisenberg and long-range Haldane-Shastry (HS) chains. In order to unlock its potential to study spin interactions with tunable interaction range using the powerful too
Externí odkaz:
http://arxiv.org/abs/2306.13066
Autor:
Rob Klabbers, Jules Lamers
Publikováno v:
SciPost Physics, Vol 17, Iss 6, p 155 (2024)
The Inozemtsev chain is an exactly solvable interpolation between the short-range Heisenberg and long-range Haldane–Shastry (HS) chains. In order to unlock its potential to study spin interactions with tunable interaction range using the powerful t
Externí odkaz:
https://doaj.org/article/39dcd1c153ee4ecdaadc3653f29a6f15
Publikováno v:
Phys.Lett.B 826 (2022) 136919
In this letter we study various Inozemtsev-type limits of the quantum double elliptic (DELL) system when both elliptic parameters are sent to zero at different rates, while the coupling constant is sent to infinity, such that a certain combination of
Externí odkaz:
http://arxiv.org/abs/2110.02157
In this work we establish that the Inozemtsev system is the Seiberg-Witten integrable system encoding the Coulomb branch physics of 4d $\mathcal{N}=2$ USp(2N) gauge theory with four fundamental and (for $N \geq 2$) one antisymmetric tensor hypermulti
Externí odkaz:
http://arxiv.org/abs/2101.04505
Autor:
Klabbers, Rob, Lamers, Jules
Publikováno v:
Commun. Math. Phys. 390, 827-905 (2022)
Three decades ago, Inozemtsev found an isotropic long-range spin chain with elliptic pair potential that interpolates between the Heisenberg and Haldane-Shastry (HS) spin chains while admitting an exact solution throughout, based on a connection with
Externí odkaz:
http://arxiv.org/abs/2009.14513
Autor:
Klabbers, Rob1 (AUTHOR), Lamers, Jules2 (AUTHOR) jules.l@unimelb.edu.au
Publikováno v:
Communications in Mathematical Physics. Mar2022, Vol. 390 Issue 2, p827-905. 79p.
We present a general method of folding an integrable spin chain, defined on a line, to obtain an integrable open spin chain, defined on a half-line. We illustrate our method through two fundamental models with sl(2) Lie algebra symmetry: the Heisenbe
Externí odkaz:
http://arxiv.org/abs/1610.01523
Publikováno v:
Journal of High Energy Physics, Vol 2021, Iss 5, Pp 1-28 (2021)
Abstract In this work we establish that the Inozemtsev system is the Seiberg-Witten integrable system encoding the Coulomb branch physics of 4d N $$ \mathcal{N} $$ = 2 USp(2N) gauge theory with four fundamental and (for N ≥ 2) one antisymmetric ten
Externí odkaz:
https://doaj.org/article/0cf6e73a256f4e17b5a9d0f3904963d3
Publikováno v:
Physics Letters B, Vol 826, Iss , Pp 136919- (2022)
In this letter we study various Inozemtsev-type limits of the quantum double elliptic (DELL) system when both elliptic parameters are sent to zero at different rates, while the coupling constant is sent to infinity, such that a certain combination of
Externí odkaz:
https://doaj.org/article/1d906ee40ca14e7e9e681604b8ad1a49