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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJun 12th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to these two recent references, identifying further $L_\infty$-algebra structure in Feynman amplitudes/S-matrices of perturbative quantum field theory: * Markus B. Fröb, _Anomalies in time-ordered products and applications to the BV-BRST formulation of quantum gauge theories_ ([arXiv:1803.10235](https://arxiv.org/abs/1803.10235)) * [[Alex Arvanitakis]], _The $L_\infty$-algebra of the S-matrix_ ([arXiv:1903.05643](https://arxiv.org/abs/1903.05643)) <a href="https://ncatlab.org/nlab/revision/diff/L-infinity+algebras+in+physics/11">diff</a>, <a href="https://ncatlab.org/nlab/revision/L-infinity+algebras+in+physics/11">v11</a>, <a href="https://ncatlab.org/nlab/show/L-infinity+algebras+in+physics">current</a>

   added pointer to these two recent references, identifying further $L_\infty$-algebra structure in Feynman amplitudes/S-matrices of perturbative quantum field theory:

   • Markus B. Fröb, Anomalies in time-ordered products and applications to the BV-BRST formulation of quantum gauge theories (arXiv:1803.10235)

   • Alex Arvanitakis, The $L_\infty$-algebra of the S-matrix (arXiv:1903.05643)

   diff, v11, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJun 12th 2019
   • (edited Jun 12th 2019)
   • PermaLink
   Author: Urs
   Format: MarkdownItexHm, this entry I had clearly created to be `!include`d as the References-section at _[[L-∞ algebra]]_. But now I saw that there was no such `!include`, instead just a literal copy of the conyent. I am `!incude`ing it now, hoping that I am not breaking something thereby.

   Hm, this entry I had clearly created to be !included as the References-section at L-∞ algebra. But now I saw that there was no such !include, instead just a literal copy of the conyent. I am !incudeing it now, hoping that I am not breaking something thereby.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeMay 25th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded the arXiv-pointer for the item * [[Jim Stasheff]] _Higher homotopy structures, then and now_, talk at _[Opening workshop](https://www.mpim-bonn.mpg.de/node/6356)_ of _[Higher Structures in Geometry and Physics](https://www.mpim-bonn.mpg.de/node/5883)_, MPI Bonn 2016 ([arXiv:1809.02526](https://arxiv.org/abs/1809.02526)) <a href="https://ncatlab.org/nlab/revision/diff/L-infinity+algebras+in+physics/14">diff</a>, <a href="https://ncatlab.org/nlab/revision/L-infinity+algebras+in+physics/14">v14</a>, <a href="https://ncatlab.org/nlab/show/L-infinity+algebras+in+physics">current</a>

   added the arXiv-pointer for the item

   • Jim Stasheff Higher homotopy structures, then and now, talk at Opening workshop of Higher Structures in Geometry and Physics, MPI Bonn 2016 (arXiv:1809.02526)

   diff, v14, current

4. • CommentRowNumber4.
   • CommentAuthorDavidRoberts
   • CommentTimeJul 23rd 2021
   • PermaLink
   Author: DavidRoberts
   Format: MarkdownItexAdded doi link to Stasheff 1992 <a href="https://ncatlab.org/nlab/revision/diff/L-infinity+algebras+in+physics/18">diff</a>, <a href="https://ncatlab.org/nlab/revision/L-infinity+algebras+in+physics/18">v18</a>, <a href="https://ncatlab.org/nlab/show/L-infinity+algebras+in+physics">current</a>

   Added doi link to Stasheff 1992

   diff, v18, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeJul 23rd 2021
   • (edited Jul 23rd 2021)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Jean-Louis Loday]], [[Bruno Vallette]], Sec. 3.2.12 and onwards in: *Algebraic Operads*, Grundlehren der mathematischen Wissenschaften **346**, Springer 2012 ([ISBN 978-3-642-30362-3](https://www.springer.com/gp/book/9783642303616), [pdf](http://irma.math.unistra.fr/~loday/PAPERS/LodayVallette.pdf)) <a href="https://ncatlab.org/nlab/revision/diff/L-infinity+algebras+in+physics/20">diff</a>, <a href="https://ncatlab.org/nlab/revision/L-infinity+algebras+in+physics/20">v20</a>, <a href="https://ncatlab.org/nlab/show/L-infinity+algebras+in+physics">current</a>

   added pointer to:

   • Jean-Louis Loday, Bruno Vallette, Sec. 3.2.12 and onwards in: Algebraic Operads, Grundlehren der mathematischen Wissenschaften 346, Springer 2012 (ISBN 978-3-642-30362-3, pdf)

   diff, v20, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeJul 23rd 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded page number and publication data for: * [[Igor Kriz]], [[Peter May]], p. 28 of: _Operads, algebras, modules and motives_, Ast&#233;risque __233__, Soci&#233;t&#233; Math&#233;matique de France (1995) ([pdf](http://www.math.uchicago.edu/~may/PAPERS/kmbooklatex.pdf), [numdam:AST_1995__233__1_0](http://www.numdam.org/item/?id=AST_1995__233__1_0)) <a href="https://ncatlab.org/nlab/revision/diff/L-infinity+algebras+in+physics/20">diff</a>, <a href="https://ncatlab.org/nlab/revision/L-infinity+algebras+in+physics/20">v20</a>, <a href="https://ncatlab.org/nlab/show/L-infinity+algebras+in+physics">current</a>

   added page number and publication data for:

   • Igor Kriz, Peter May, p. 28 of: Operads, algebras, modules and motives, Astérisque 233, Société Mathématique de France (1995) (pdf, numdam:AST_1995__233__1_0)

   diff, v20, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeSep 18th 2022
   • (edited Sep 18th 2022)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * Ben Reinhold, *$L_\infty$-algebras and their cohomology*, Emergent Scientist **3** 4 (2019) &lbrack;[doi:10.1051/emsci/2019003](https://doi.org/10.1051/emsci/2019003)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/L-infinity+algebras+in+physics/21">diff</a>, <a href="https://ncatlab.org/nlab/revision/L-infinity+algebras+in+physics/21">v21</a>, <a href="https://ncatlab.org/nlab/show/L-infinity+algebras+in+physics">current</a>

   added pointer to:

   • Ben Reinhold, $L_\infty$-algebras and their cohomology, Emergent Scientist 3 4 (2019) [doi:10.1051/emsci/2019003]

   diff, v21, current

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeMar 20th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to last week's * [[Maxim Grigoriev]], [[Dmitry Rudinsky]], *Notes on the $L_\infty$-approach to local gauge field theories* $[$[arXiv2303.08990](https://arxiv.org/abs/2303.08990)$]$ Ah, that's too bad: Their section 4 scoops a writeup we have in preparation with a postdoc here... <a href="https://ncatlab.org/nlab/revision/diff/L-infinity+algebras+in+physics/22">diff</a>, <a href="https://ncatlab.org/nlab/revision/L-infinity+algebras+in+physics/22">v22</a>, <a href="https://ncatlab.org/nlab/show/L-infinity+algebras+in+physics">current</a>

   added pointer to last week’s

   • Maxim Grigoriev, Dmitry Rudinsky, Notes on the $L_\infty$-approach to local gauge field theories $[$arXiv2303.08990$]$

   Ah, that’s too bad: Their section 4 scoops a writeup we have in preparation with a postdoc here…

   diff, v22, current

9. • CommentRowNumber9.
   • CommentAuthorUrs
   • CommentTimeFeb 25th 2024
   • (edited Feb 25th 2024)
   • PermaLink
   Author: Urs
   Format: MarkdownItexSince people now seem to be at the point of switching from ignoring the observation * supergravity "FDAs" $\;\;\;\overset{dual}{\leftrightarrow}\;\;\;$ super $L_\infty$-algebras to treating it as folklore not needing a citation, I am taking the liberty of adding a couple more references (to the ones that had already been listed all along): The observation really originates around this blog post, I guess: * [[Urs Schreiber]], *[SuGra 3-Connection Reloaded](https://golem.ph.utexas.edu/category/2006/08/sugra_3connection_reloaded.html)* (2006) More recent review is in: * [[Branislav Jurčo]], [[Christian Saemann]], [[Urs Schreiber]], [[Martin Wolf]]: _Higher Structures in M-Theory_, Introduction to _[[Higher Structures in M-Theory 2018]]_, Fortsch. d. Phys. **67** 8-9 (2019) 1910001 &lbrack;[arXiv:1903.02807](https://arxiv.org/abs/1903.02807), [doi:10.1002/prop.201910001](https://doi.org/10.1002/prop.201910001)&rbrack; * [[Domenico Fiorenza]], [[Hisham Sati]], [[Urs Schreiber]]: *[[schreiber:The rational higher structure of M-theory|The rational higher structure of M-theory]]*, in *[[Higher Structures in M-Theory 2018]]*, Fortschr. der Physik **67** 8-9 (2019) 1910017 \[<a href="https://arxiv.org/abs/1903.02834">arXiv:1903.02834</a>, <a href="https://doi.org/10.1002/prop.201910017">doi:10.1002/prop.201910017</a>\] <a href="https://ncatlab.org/nlab/revision/diff/L-infinity+algebras+in+physics/27">diff</a>, <a href="https://ncatlab.org/nlab/revision/L-infinity+algebras+in+physics/27">v27</a>, <a href="https://ncatlab.org/nlab/show/L-infinity+algebras+in+physics">current</a>

   Since people now seem to be at the point of switching from ignoring the observation

   • supergravity “FDAs” $\;\;\;\overset{dual}{\leftrightarrow}\;\;\;$ super $L_\infty$-algebras

   to treating it as folklore not needing a citation, I am taking the liberty of adding a couple more references (to the ones that had already been listed all along):

   The observation really originates around this blog post, I guess:

   • Urs Schreiber, SuGra 3-Connection Reloaded (2006)

   More recent review is in:

   • Branislav Jurčo, Christian Saemann, Urs Schreiber, Martin Wolf: Higher Structures in M-Theory, Introduction to Higher Structures in M-Theory 2018, Fortsch. d. Phys. 67 8-9 (2019) 1910001 [arXiv:1903.02807, doi:10.1002/prop.201910001]

   • Domenico Fiorenza, Hisham Sati, Urs Schreiber: The rational higher structure of M-theory, in Higher Structures in M-Theory 2018, Fortschr. der Physik 67 8-9 (2019) 1910017 [arXiv:1903.02834, doi:10.1002/prop.201910017]

   diff, v27, current

10. • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeMar 1st 2024
    • (edited Mar 1st 2024)
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded pointer to: * [[Leonardo Castellani]], [[Riccardo D'Auria]], [[Pietro Fré]], Ch III.6 in: *[[Supergravity and Superstrings - A Geometric Perspective]]*, World Scientific (1991) &lbrack;[doi:10.1142/0224](https://doi.org/10.1142/0224)&rbrack; * [[Pietro Fré]], §6.3 in: *Gravity, a Geometrical Course*, Volume 2: *Black Holes, Cosmology and Introduction to Supergravity*, Springer (2013) \[<a href="https://doi.org/10.1007/978-94-007-5443-0">doi:10.1007/978-94-007-5443-0</a>\] * [[Leonardo Castellani]], §6 in: *Supergravity in the group-geometric framework: a primer*, Fortschr. Phys. **66** 4 (2018) \[<a href="https://doi.org/10.1002/prop.201800014">doi:10.1002/prop.201800014</a>, [arXiv:1802.03407](https://arxiv.org/abs/1802.03407)\] for the "FDA" terminology <a href="https://ncatlab.org/nlab/revision/diff/L-infinity+algebras+in+physics/28">diff</a>, <a href="https://ncatlab.org/nlab/revision/L-infinity+algebras+in+physics/28">v28</a>, <a href="https://ncatlab.org/nlab/show/L-infinity+algebras+in+physics">current</a>

    added pointer to:

    • Leonardo Castellani, Riccardo D’Auria, Pietro Fré, Ch III.6 in: Supergravity and Superstrings - A Geometric Perspective, World Scientific (1991) [doi:10.1142/0224]

    • Pietro Fré, §6.3 in: Gravity, a Geometrical Course, Volume 2: Black Holes, Cosmology and Introduction to Supergravity, Springer (2013) [doi:10.1007/978-94-007-5443-0]

    • Leonardo Castellani, §6 in: Supergravity in the group-geometric framework: a primer, Fortschr. Phys. 66 4 (2018) [doi:10.1002/prop.201800014, arXiv:1802.03407]

    for the “FDA” terminology

    diff, v28, current