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2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeDec 1st 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexstub -- for the moment just as to satisfy links <a href="https://ncatlab.org/nlab/revision/spin+chain/1">v1</a>, <a href="https://ncatlab.org/nlab/show/spin+chain">current</a>

   stub – for the moment just as to satisfy links

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeDec 20th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to today's * Mari Carmen Banuls, Michal P. Heller, Karl Jansen, Johannes Knaute, Viktor Svensson, _From spin chains to real-time thermal field theory using tensor networks_ ([arXiv:1912.08836](https://arxiv.org/abs/1912.08836)) <a href="https://ncatlab.org/nlab/revision/diff/spin+chain/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/spin+chain/2">v2</a>, <a href="https://ncatlab.org/nlab/show/spin+chain">current</a>

   added pointer to today’s

   • Mari Carmen Banuls, Michal P. Heller, Karl Jansen, Johannes Knaute, Viktor Svensson, From spin chains to real-time thermal field theory using tensor networks (arXiv:1912.08836)

   diff, v2, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeDec 20th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to today's * Marius de Leeuw, Tamás Gombor, Charlotte Kristjansen, Georgios Linardopoulos, Balázs Pozsgay, _Spin Chain Overlaps and the Twisted Yangian_ ([arXiv:1912.09338](https://arxiv.org/abs/1912.09338)) <a href="https://ncatlab.org/nlab/revision/diff/spin+chain/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/spin+chain/2">v2</a>, <a href="https://ncatlab.org/nlab/show/spin+chain">current</a>

   added pointer to today’s

   • Marius de Leeuw, Tamás Gombor, Charlotte Kristjansen, Georgios Linardopoulos, Balázs Pozsgay, Spin Chain Overlaps and the Twisted Yangian (arXiv:1912.09338)

   diff, v2, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeJan 22nd 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexfor when the edit functionality is back, to add publication data to this bibitem: * Ingmar Saberi, *An introduction to spin systems for mathematicians* in D. Ayala, D. S. Freed, R. E. Grady: *Topology and Quantum Theory in Interaction*, AMS Contemporary Mathematics **718** (2018) 15-48 ([ISBN:978-1-4704-4941-4](https://bookstore.ams.org/conm-718), [arXiv:1801.07270](https://arxiv.org/abs/1801.07270)) I was looking for decent (semi-)mathematical reference on (higher) spin chain systems. Not much luck yet...

   for when the edit functionality is back, to add publication data to this bibitem:

   • Ingmar Saberi, An introduction to spin systems for mathematicians in D. Ayala, D. S. Freed, R. E. Grady: Topology and Quantum Theory in Interaction, AMS Contemporary Mathematics 718 (2018) 15-48 (ISBN:978-1-4704-4941-4, arXiv:1801.07270)

   I was looking for decent (semi-)mathematical reference on (higher) spin chain systems. Not much luck yet…

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeJan 22nd 2022
   • (edited Jan 22nd 2022)
   • PermaLink
   Author: Urs
   Format: MarkdownItexBut there is also this: * Günter Stolz, *Aspects of the Mathematical Theory of Disordered Quantum Spin Chains*, in H. Abdul-Rahman, R. Sims, A. Young (eds.) *Analytic Trends in Mathematical Physics*, AMS Contemporary Mathematics **741** (2020) 163 ([arXiv:1810.05047](https://arxiv.org/abs/1810.05047), [doi:10.1090/conm/741]( https://doi.org/10.1090/conm/741))

   But there is also this:

   • Günter Stolz, Aspects of the Mathematical Theory of Disordered Quantum Spin Chains, in H. Abdul-Rahman, R. Sims, A. Young (eds.) Analytic Trends in Mathematical Physics, AMS Contemporary Mathematics 741 (2020) 163 (arXiv:1810.05047, doi:10.1090/conm/741)
6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeSep 18th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Houssam Abdul-Rahman]], Marius Lemm, Angelo Lucia, [[Bruno Nachtergaele]], Amanda Young, *A class of two-dimensional AKLT models with a gap*, in: *Analytic Trends in Mathematical Physics*, Contemporary Mathematics **741**, AMS (2020) &lbrack;[arXiv:1901.09297](https://arxiv.org/abs/1901.09297), [doi:10.1090/conm/741/14917](https://doi.org/10.1090/conm/741/14917)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/spin+chain/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/spin+chain/7">v7</a>, <a href="https://ncatlab.org/nlab/show/spin+chain">current</a>

   added pointer to:

   • Houssam Abdul-Rahman, Marius Lemm, Angelo Lucia, Bruno Nachtergaele, Amanda Young, A class of two-dimensional AKLT models with a gap, in: Analytic Trends in Mathematical Physics, Contemporary Mathematics 741, AMS (2020) [arXiv:1901.09297, doi:10.1090/conm/741/14917]

   diff, v7, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeNov 5th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to this Friday's: * Naoto Yokoi, Yasuyuki Oikawa, Eiji Saitoh, *Holographic Dual of Quantum Spin Chain as Chern-Simons-Scalar Theory* &lbrack;[arXiv:2310.01890](https://arxiv.org/abs/2310.01890)&rbrack: <a href="https://ncatlab.org/nlab/revision/diff/spin+chain/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/spin+chain/9">v9</a>, <a href="https://ncatlab.org/nlab/show/spin+chain">current</a>

   added pointer to this Friday’s:

   • Naoto Yokoi, Yasuyuki Oikawa, Eiji Saitoh, Holographic Dual of Quantum Spin Chain as Chern-Simons-Scalar Theory [arXiv:2310.01890&rbrack:

   diff, v9, current

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeJun 22nd 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded poiner to: * Andreas Schadschneider, Götz S. Uhrig: Part II of: *Strongly Correlated Systems in Solid State Physics*, lecture notes (2004) &lbrack;[pdf](https://www.thp.uni-koeln.de/~as/Mypage/PSfiles/Korrel/korrel.pdf)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/spin+chain/11">diff</a>, <a href="https://ncatlab.org/nlab/revision/spin+chain/11">v11</a>, <a href="https://ncatlab.org/nlab/show/spin+chain">current</a>

   added poiner to:

   • Andreas Schadschneider, Götz S. Uhrig: Part II of: Strongly Correlated Systems in Solid State Physics, lecture notes (2004) [pdf]

   diff, v11, current