Timeline for The Dedekind eta function in physics
Current License: CC BY-SA 4.0
33 events
| when toggle format | what | by | license | comment | |
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| Sep 24, 2021 at 0:40 | comment | added | Tom Copeland | As Steve Huntsman noted, the Dedekind eta function occurs in Moonshine Beyond the Monster by Gannon. | |
| Apr 3, 2021 at 20:46 | comment | added | Tom Copeland | Occurs in the denominator (under a theta function) of the determinant of a chiral Dirac operator in "Theta Functions, Modular Invariance, and Strings" by Alvarez-Gaume, Moore, and Vafa. | |
| Jan 19, 2021 at 1:08 | history | edited | Tom Copeland | CC BY-SA 4.0 |
Introduced 2019 talk by Bartlett
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| Jan 12, 2021 at 17:19 | comment | added | Tom Copeland | @S.Carnahan, isn't that rather obvious from the first examples in statistical physics which always relates statistical parameters such as the system's energy, entropy, temperature, etc. to averages over a distribution (relative count) of states? The papers devote rather large sections to the explanation of the exact connection of the Dedekind eta to a counting of the states involved. This is a question rather than a treatise. | |
| Jan 1, 2021 at 22:17 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
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| Jan 1, 2021 at 16:27 | history | edited | Tom Copeland | CC BY-SA 4.0 |
Introduced recent video introducing the Dedekind eta in string theory
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| Oct 1, 2020 at 13:51 | comment | added | Tom Copeland | Also Ooguri, "Lecture 9: Riemann surfaces, elliptic functions" ocw.u-tokyo.ac.jp/lecture_files/sci_03/9/notes/en/ooguri09.pdf | |
| Dec 18, 2019 at 15:17 | comment | added | Pulcinella | The characters of vertex algebras are often modular forms, for instance, the character of the Heisenberg/rank 1 free boson vertex algebra at a certain charge is $\eta(q)^{-1}$. Zhu proved a more precise result in ``Modular invariance of characters of vertex operator algebras''. This comment is probably just a mathematical rephrasing of some of the things already mentioned here already. | |
| Sep 24, 2019 at 3:50 | history | edited | Alexey Ustinov | CC BY-SA 4.0 |
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| Aug 28, 2019 at 16:05 | comment | added | Tom Copeland | And "The Modular Flow on the Space of Lattices" at the n-Category Cafe golem.ph.utexas.edu/category/2014/04/… | |
| Aug 28, 2019 at 15:55 | history | edited | Tom Copeland | CC BY-SA 4.0 |
Fixed broken link
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| Aug 28, 2019 at 15:51 | comment | added | Tom Copeland | See also "Lorenz and modular flows: a visual introduction" by Ghys and Leys josleys.com/articles/ams_article/Lorenz3.htm | |
| Aug 24, 2019 at 19:55 | comment | added | Tom Copeland | See pg. 145 of "Signatures in algebra, topology and dynamics" by Ghys and Ranicki arxiv.org/abs/1512.09258 | |
| May 21, 2017 at 22:37 | comment | added | Tom Copeland | See also the same question on PhysicsOverflow with additional answers: physicsoverflow.org/17263 | |
| Jan 4, 2017 at 12:20 | comment | added | Tom Copeland | Related "K3 Surfaces, N=4 Dyons, and the Mathieu Group M24" by Miranda Cheng arxiv.org/abs/1005.5415 | |
| Dec 12, 2016 at 22:03 | comment | added | Tom Copeland | Related: "On determinant line bundles" by Freed. | |
| Aug 8, 2013 at 14:26 | answer | added | Zurab Silagadze | timeline score: 8 | |
| Dec 26, 2012 at 9:27 | history | edited | Tom Copeland | CC BY-SA 3.0 |
Final update
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| Dec 26, 2012 at 8:33 | history | edited | Tom Copeland | CC BY-SA 3.0 |
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| Dec 26, 2012 at 8:17 | history | edited | Tom Copeland | CC BY-SA 3.0 |
More specifics
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| Dec 24, 2012 at 12:27 | history | edited | Tom Copeland | CC BY-SA 3.0 |
Deleted remark confusing Dirichlet eta with Dedekind
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| Dec 24, 2012 at 4:15 | history | edited | Tom Copeland | CC BY-SA 3.0 |
Specifics
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| Dec 24, 2012 at 3:33 | history | edited | Tom Copeland | CC BY-SA 3.0 |
Specifics
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| Dec 24, 2012 at 2:46 | history | edited | Tom Copeland | CC BY-SA 3.0 |
New info
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| Dec 7, 2012 at 11:27 | history | edited | Tom Copeland | CC BY-SA 3.0 |
added 463 characters in body
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| Dec 3, 2012 at 23:05 | history | edited | Tom Copeland | CC BY-SA 3.0 |
deleted 1 characters in body
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| Dec 3, 2012 at 22:57 | history | edited | Tom Copeland | CC BY-SA 3.0 |
added 402 characters in body
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| Dec 3, 2012 at 16:52 | comment | added | S. Carnahan♦ | If your goal in asking this question goes beyond simply accumulating a list of interesting physics topics, I think it would be important to note how precisely $\eta$ appears, rather than simply pointing out that it is mentioned in a paper. For example, in many statistical partition functions and Fock space characters, it appears in the denominator, since the reciprocal of $\eta$ is a generating function that counts partitions of integers. | |
| Dec 3, 2012 at 4:39 | history | made wiki | Post Made Community Wiki by Tom Copeland | ||
| Dec 3, 2012 at 3:58 | comment | added | Steve Huntsman | Well, you'll find it discussed in Nash. Gannon also discusses a boson on a circle. | |
| Dec 3, 2012 at 3:53 | history | edited | Tom Copeland | CC BY-SA 3.0 |
added link, fixed typos
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| Dec 3, 2012 at 2:27 | comment | added | Steve Huntsman | Do you consider conformal field theory covered in your question? ...because this is not entirely unrelated to the Ising model. | |
| Dec 3, 2012 at 1:26 | history | asked | Tom Copeland | CC BY-SA 3.0 |