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@ARTICLE{Klabbers:614989,
author = {Klabbers, Rob and Lamers, Jules},
title = {{T}he deformed {I}nozemtsev spin chain},
reportid = {PUBDB-2024-06033, arXiv:2306.13066. DESY-24-168.
HU-EP-23/20. HU-Mathematik-2023-1},
year = {2024},
note = {25 pages, 2 figures},
abstract = {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 tools of integrability,
the model's mathematical properties require better
understanding. As a major step in this direction, we present
a new generalisation of the Inozemtsev chain with spin
symmetry reduced to U(1), interpolating between a Heisenberg
xxz chain and the xxz-type HS chain, and integrable
throughout. Underlying it is a new quantum many-body system
that extends the elliptic Ruijsenaars system by including
spins, contains the trigonometric spin-Ruijsenaars-Macdonald
system as a special case, and yields our spin chain by
'freezing'. Our models have potential applications from
condensed-matter to high-energy theory, and provide a
crucial step towards a general theory for long-range
integrability.},
cin = {T},
cid = {I:(DE-H253)T-20120731},
pnm = {611 - Fundamental Particles and Forces (POF4-611) /
BrokenSymmetries - Exact Results from Broken Symmetries
(101044226)},
pid = {G:(DE-HGF)POF4-611 / G:(EU-Grant)101044226},
experiment = {EXP:(DE-MLZ)NOSPEC-20140101},
typ = {PUB:(DE-HGF)25},
eprint = {2306.13066},
howpublished = {arXiv:2306.13066},
archivePrefix = {arXiv},
SLACcitation = {$\%\%CITATION$ = $arXiv:2306.13066;\%\%$},
doi = {10.3204/PUBDB-2024-06033},
url = {https://bib-pubdb1.desy.de/record/614989},
}