physics, mathematical physics, philosophy of physics
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Axiomatizations
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(…)
The original articles:
Review:
Andreas Schadschneider, Götz S. Uhrig: Part II of: Strongly Correlated Systems in Solid State Physics, lecture notes (2004) [pdf, pdf]
Ingmar Saberi, An introduction to spin systems for mathematicians [arXiv:1801.07270]
Relation to tensor networks:
Claim of supersymmetric spin chains carrying braid group representations (“anyons”):
On topological phases (i.e. gapped ground states) of spin chains:
On simulation of quantum spin chains on quantum computers:
A holographic CMT model for spin chains:
Identifiication of spin chain dynamics in the action of the dilatation operator in super Yang-Mills theory, specifically D=4 N=4 super Yang-Mills theory, on single trace operators/BMN operators and correspondence to Green-Schwarz superstrings on AdS5 under the AdS-CFT correspondence:
J. A. Minahan, Konstantin Zarembo, The Bethe-Ansatz for Super Yang-Mills, JHEP 0303 (2003) 013 (arXiv:hep-th/0212208)
Niklas Beisert, Matthias Staudacher, The SYM Integrable Super Spin Chain,
Nucl. Phys. B670:439-463, 2003 (arXiv:hep-th/0307042)
Niklas Beisert, Sergey Frolov, Matthias Staudacher, Arkady Tseytlin, Precision Spectroscopy of AdS/CFT, JHEP 0310:037, 2003 (arXiv:hep-th/0308117)
Review includes
A. V. Belitsky, Volker Braun, A. S. Gorsky, G. P. Korchemsky, Integrability in QCD and beyond, Int. J. Mod. Phys. A19:4715-4788, 2004 (arXiv:hep-th/0407232)
Niklas Beisert, Luis Alday, Radu Roiban, Sakura Schafer-Nameki, Matthias Staudacher, Alessandro Torrielli, Arkady Tseytlin, et. al., Review of AdS/CFT Integrability: An Overview, Lett. Math. Phys. 99, 3 (2012) (arXiv:1012.3982)
For D3-D7 brane bound states and D3-D5 brane bound states:
See also:
Taro Kimura, Rui-Dong Zhu, Bethe/Gauge Correspondence for / Gauge Theories and Open Spin Chains, JHEP 2021 227 (2021) [arXiv:2012.14197, doi:10.1007/JHEP03(2021)227]
Ziwei Wang, Rui-Dong Zhu, Bethe/Gauge Correspondence for Spin Chains with Integrable Boundaries [arXiv:2401.00764]
Analogous spin chain aspects claimed to appear in D=6 N=(2,0) SCFT:
Florent Baume, Jonathan J. Heckman, Craig Lawrie, 6D SCFTs, 4D SCFTs, Conformal Matter, and Spin Chains, Nuclear Physics B 967 (2021) 115401 [doi:10.1016/j.nuclphysb.2021.115401, arXiv:2007.07262]
Jonathan J. Heckman, Qubit construction in 6D SCFTs, Physics Letters B 811 (2020) 135891 [doi:10.1016/j.physletb.2020.135891, arXiv:2007.08545]
Last revised on June 22, 2024 at 16:13:28. See the history of this page for a list of all contributions to it.