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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeNov 30th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexstarting a collection of commented references here. This is to be `!include`-ed in the References-section of related entries. Therefore this entry starts out with a sub-section and contains nothing else. <a href="https://ncatlab.org/nlab/revision/weight+systems+on+chord+diagrams+in+physics/1">v1</a>, <a href="https://ncatlab.org/nlab/show/weight+systems+on+chord+diagrams+in+physics">current</a>

   starting a collection of commented references here. This is to be !include-ed in the References-section of related entries. Therefore this entry starts out with a sub-section and contains nothing else.

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeDec 1st 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded mentioning of relation to _[[single trace operators]]_ and re-arranged slightly <a href="https://ncatlab.org/nlab/revision/diff/weight+systems+on+chord+diagrams+in+physics/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/weight+systems+on+chord+diagrams+in+physics/2">v2</a>, <a href="https://ncatlab.org/nlab/show/weight+systems+on+chord+diagrams+in+physics">current</a>

   added mentioning of relation to single trace operators and re-arranged slightly

   diff, v2, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeDec 1st 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded some more graphics from/alongside the references (generally, `img`-included graphics comes out with too much vertical and too little horizontal padding against the ambient text) <a href="https://ncatlab.org/nlab/revision/diff/weight+systems+on+chord+diagrams+in+physics/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/weight+systems+on+chord+diagrams+in+physics/4">v4</a>, <a href="https://ncatlab.org/nlab/show/weight+systems+on+chord+diagrams+in+physics">current</a>

   added some more graphics from/alongside the references

   (generally, img-included graphics comes out with too much vertical and too little horizontal padding against the ambient text)

   diff, v4, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeDec 2nd 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to * Yiyang Jia, Jacobus J. M. Verbaarschot, Section 4 of: _Large $N$ expansion of the moments and free energy of Sachdev-Ye-Kitaev model, and the enumeration of intersection graphs_, JHEP 11 (2018) 031 ([arXiv:1806.03271](https://arxiv.org/abs/1806.03271)) <a href="https://ncatlab.org/nlab/revision/diff/weight+systems+on+chord+diagrams+in+physics/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/weight+systems+on+chord+diagrams+in+physics/5">v5</a>, <a href="https://ncatlab.org/nlab/show/weight+systems+on+chord+diagrams+in+physics">current</a>

   added pointer to

   • Yiyang Jia, Jacobus J. M. Verbaarschot, Section 4 of: Large $N$ expansion of the moments and free energy of Sachdev-Ye-Kitaev model, and the enumeration of intersection graphs, JHEP 11 (2018) 031 (arXiv:1806.03271)

   diff, v5, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeApr 23rd 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded a section "For Dyson-Schwinger equations" ([here](https://ncatlab.org/nlab/show/weight+systems+on+chord+diagrams+in+physics#ForDysonSchwingerEquations)) <a href="https://ncatlab.org/nlab/revision/diff/weight+systems+on+chord+diagrams+in+physics/12">diff</a>, <a href="https://ncatlab.org/nlab/revision/weight+systems+on+chord+diagrams+in+physics/12">v12</a>, <a href="https://ncatlab.org/nlab/show/weight+systems+on+chord+diagrams+in+physics">current</a>

   added a section “For Dyson-Schwinger equations” (here)

   diff, v12, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeMay 2nd 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded one more section: *[As codes for holographic entanglement entropy](https://ncatlab.org/nlab/show/weight+systems+on+chord+diagrams+in+physics#ForHolographicEntanglementEntropy)* with references on the [[Majorana dimer codes]] <a href="https://ncatlab.org/nlab/revision/diff/weight+systems+on+chord+diagrams+in+physics/13">diff</a>, <a href="https://ncatlab.org/nlab/revision/weight+systems+on+chord+diagrams+in+physics/13">v13</a>, <a href="https://ncatlab.org/nlab/show/weight+systems+on+chord+diagrams+in+physics">current</a>

   added one more section: As codes for holographic entanglement entropy with references on the Majorana dimer codes

   diff, v13, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeDec 7th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexfixed the figure margins and captions by switching to `imagefromfile`-environments, throughout. <a href="https://ncatlab.org/nlab/revision/diff/weight+systems+on+chord+diagrams+in+physics/20">diff</a>, <a href="https://ncatlab.org/nlab/revision/weight+systems+on+chord+diagrams+in+physics/20">v20</a>, <a href="https://ncatlab.org/nlab/show/weight+systems+on+chord+diagrams+in+physics">current</a>

   fixed the figure margins and captions by switching to imagefromfile-environments, throughout.

   diff, v20, current

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeDec 29th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to today's * [[Micha Berkooz]], Mikhail Isachenkov, Prithvi Narayan, Vladimir Narovlansky, *Quantum groups, non-commutative $AdS_2$, and chords in the double-scaled SYK model* &lbrack;[arXiv:2212.13668](https://arxiv.org/abs/2212.13668)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/weight+systems+on+chord+diagrams+in+physics/23">diff</a>, <a href="https://ncatlab.org/nlab/revision/weight+systems+on+chord+diagrams+in+physics/23">v23</a>, <a href="https://ncatlab.org/nlab/show/weight+systems+on+chord+diagrams+in+physics">current</a>

   added pointer to today’s

   • Micha Berkooz, Mikhail Isachenkov, Prithvi Narayan, Vladimir Narovlansky, Quantum groups, non-commutative $AdS_2$, and chords in the double-scaled SYK model [arXiv:2212.13668]

   diff, v23, current

9. • CommentRowNumber9.
   • CommentAuthorUrs
   • CommentTimeJan 9th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Henry W. Lin]], *The bulk Hilbert space of double scaled SYK*, J. High Energ. Phys. **2022** 60 (2022) &lbrack;[arXiv:2208.07032](https://arxiv.org/abs/2208.07032), <a href="https://doi.org/10.1007/JHEP11(2022)060">doi:10.1007/JHEP11(2022)060</a>&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/weight+systems+on+chord+diagrams+in+physics/24">diff</a>, <a href="https://ncatlab.org/nlab/revision/weight+systems+on+chord+diagrams+in+physics/24">v24</a>, <a href="https://ncatlab.org/nlab/show/weight+systems+on+chord+diagrams+in+physics">current</a>

   added pointer to:

   • Henry W. Lin, The bulk Hilbert space of double scaled SYK, J. High Energ. Phys. 2022 60 (2022) [arXiv:2208.07032, doi:10.1007/JHEP11(2022)060]

   diff, v24, current

10. • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeMar 18th 2023
    • (edited Mar 18th 2023)
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded pointer to: * [[Carlo Collari]], *A note on weight systems which are quantum states*, Can. Math. Bull. (2023, in print) $[$[arXiv:2210.05399](https://arxiv.org/abs/2210.05399)$]$ * [[Carlo Collari]], *Weight systems which are quantum states*, talk at *[QFT and Cobordism](https://nyuad.nyu.edu/en/events/2023/march/quantum-field-theories-and-cobordisms.html)*, [[CQTS]] (Mar 2023) $[$[web](https://ncatlab.org/nlab/show/Center+for+Quantum+and+Topological+Systems#CollariMar2023), [pdf](https://ncatlab.org/nlab/files/Collari-WeightSystems.pdf)$]$ <a href="https://ncatlab.org/nlab/revision/diff/weight+systems+on+chord+diagrams+in+physics/25">diff</a>, <a href="https://ncatlab.org/nlab/revision/weight+systems+on+chord+diagrams+in+physics/25">v25</a>, <a href="https://ncatlab.org/nlab/show/weight+systems+on+chord+diagrams+in+physics">current</a>

    added pointer to:

    • Carlo Collari, A note on weight systems which are quantum states, Can. Math. Bull. (2023, in print) $[$arXiv:2210.05399$]$

    • Carlo Collari, Weight systems which are quantum states, talk at QFT and Cobordism, CQTS (Mar 2023) $[$web, pdf$]$

    diff, v25, current

11. • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeAug 1st 2023
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded pointer to today's * [[Henry W. Lin]], [[Douglas Stanford]], *A symmetry algebra in double-scaled SYK* $[$[arXiv:2307.15725](https://arxiv.org/abs/2307.15725)$]$ <a href="https://ncatlab.org/nlab/revision/diff/weight+systems+on+chord+diagrams+in+physics/28">diff</a>, <a href="https://ncatlab.org/nlab/revision/weight+systems+on+chord+diagrams+in+physics/28">v28</a>, <a href="https://ncatlab.org/nlab/show/weight+systems+on+chord+diagrams+in+physics">current</a>

    added pointer to today’s

    • Henry W. Lin, Douglas Stanford, A symmetry algebra in double-scaled SYK $[$arXiv:2307.15725$]$

    diff, v28, current

12. • CommentRowNumber12.
    • CommentAuthorUrs
    • CommentTimeDec 18th 2023
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded pointer to today's * Paul-Hermann Balduf, Amelia Cantwell, [[Kurusch Ebrahimi-Fard]], Lukas Nabergall, Nicholas Olson-Harris, [[Karen Yeats]], *Tubings, chord diagrams, and Dyson-Schwinger equations* \[<a href="https://arxiv.org/abs/2302.02019">arXiv:2302.02019</a>\] <a href="https://ncatlab.org/nlab/revision/diff/weight+systems+on+chord+diagrams+in+physics/30">diff</a>, <a href="https://ncatlab.org/nlab/revision/weight+systems+on+chord+diagrams+in+physics/30">v30</a>, <a href="https://ncatlab.org/nlab/show/weight+systems+on+chord+diagrams+in+physics">current</a>

    added pointer to today’s

    • Paul-Hermann Balduf, Amelia Cantwell, Kurusch Ebrahimi-Fard, Lukas Nabergall, Nicholas Olson-Harris, Karen Yeats, Tubings, chord diagrams, and Dyson-Schwinger equations [arXiv:2302.02019]

    diff, v30, current

13. • CommentRowNumber13.
    • CommentAuthorUrs
    • CommentTimeFeb 2nd 2024
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded pointer to today's * [[Herman Verlinde]], *Double-scaled SYK, Chords and de Sitter Gravity* \[<a href="https://arxiv.org/abs/2402.00635">arXiv:2402.00635</a>\] <a href="https://ncatlab.org/nlab/revision/diff/weight+systems+on+chord+diagrams+in+physics/31">diff</a>, <a href="https://ncatlab.org/nlab/revision/weight+systems+on+chord+diagrams+in+physics/31">v31</a>, <a href="https://ncatlab.org/nlab/show/weight+systems+on+chord+diagrams+in+physics">current</a>

    added pointer to today’s

    • Herman Verlinde, Double-scaled SYK, Chords and de Sitter Gravity [arXiv:2402.00635]

    diff, v31, current

14. • CommentRowNumber14.
    • CommentAuthorUrs
    • CommentTimeMar 12th 2024
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded pointer to today's * [[Micha Berkooz]], Nadav Brukner, Yiyang Jia, Ohad Mamroud, *A Path Integral for Chord Diagrams and Chaotic-Integrable Transitions in Double Scaled SYK* \[<a href="https://arxiv.org/abs/2403.05980">arXiv:2403.05980</a>\] <a href="https://ncatlab.org/nlab/revision/diff/weight+systems+on+chord+diagrams+in+physics/32">diff</a>, <a href="https://ncatlab.org/nlab/revision/weight+systems+on+chord+diagrams+in+physics/32">v32</a>, <a href="https://ncatlab.org/nlab/show/weight+systems+on+chord+diagrams+in+physics">current</a>

    added pointer to today’s

    • Micha Berkooz, Nadav Brukner, Yiyang Jia, Ohad Mamroud, A Path Integral for Chord Diagrams and Chaotic-Integrable Transitions in Double Scaled SYK [arXiv:2403.05980]

    diff, v32, current

15. • CommentRowNumber15.
    • CommentAuthorUrs
    • CommentTimeJun 29th 2024
    • (edited Jun 29th 2024)
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded pointer to the recent preprint * Duff Neill, Hanqing Liu, Joshua Martin, Alessandro Roggero: *Scattering Neutrinos, Spin Models, and Permutations* \[<a href="https://arxiv.org/abs/2406.18677">arXiv:2406.18677</a>\] which encounters weight systems on horizontal chord diagrams in discussion of neutrino interactions in supernovae (!) <a href="https://ncatlab.org/nlab/revision/diff/weight+systems+on+chord+diagrams+in+physics/34">diff</a>, <a href="https://ncatlab.org/nlab/revision/weight+systems+on+chord+diagrams+in+physics/34">v34</a>, <a href="https://ncatlab.org/nlab/show/weight+systems+on+chord+diagrams+in+physics">current</a>

    added pointer to the recent preprint

    • Duff Neill, Hanqing Liu, Joshua Martin, Alessandro Roggero: Scattering Neutrinos, Spin Models, and Permutations [arXiv:2406.18677]

    which encounters weight systems on horizontal chord diagrams in discussion of neutrino interactions in supernovae (!)

    diff, v34, current

16. • CommentRowNumber16.
    • CommentAuthorUrs
    • CommentTimeJul 15th 2024
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded pointer to today's * [[Micha Berkooz]], Ohad Mamroud: *A Cordial Introduction to Double Scaled SYK* \[<a href="https://arxiv.org/abs/2407.09396">arXiv:2407.09396</a>\] <a href="https://ncatlab.org/nlab/revision/diff/weight+systems+on+chord+diagrams+in+physics/35">diff</a>, <a href="https://ncatlab.org/nlab/revision/weight+systems+on+chord+diagrams+in+physics/35">v35</a>, <a href="https://ncatlab.org/nlab/show/weight+systems+on+chord+diagrams+in+physics">current</a>

    added pointer to today’s

    • Micha Berkooz, Ohad Mamroud: A Cordial Introduction to Double Scaled SYK [arXiv:2407.09396]

    diff, v35, current

17. • CommentRowNumber17.
    • CommentAuthorUrs
    • CommentTimeJul 19th 2024
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded pointer to today's * Adel A. Rahman, [[Leonard Susskind]]: *$p$-Chords, Wee-Chords, and de Sitter Space* \[<a href="https://arxiv.org/abs/2407.12988">arXiv:2407.12988</a>\] <a href="https://ncatlab.org/nlab/revision/diff/weight+systems+on+chord+diagrams+in+physics/36">diff</a>, <a href="https://ncatlab.org/nlab/revision/weight+systems+on+chord+diagrams+in+physics/36">v36</a>, <a href="https://ncatlab.org/nlab/show/weight+systems+on+chord+diagrams+in+physics">current</a>

    added pointer to today’s

    • Adel A. Rahman, Leonard Susskind: $p$-Chords, Wee-Chords, and de Sitter Space [arXiv:2407.12988]

    diff, v36, current