Intersection numbers on M ¯ g , n $$ {\overline{M}}_{g,n} $$ and BKP hierarchy
Abstract In their recent inspiring paper, Mironov and Morozov claim a surprisingly simple expansion formula for the Kontsevich-Witten tau-function in terms of the Schur Q-functions. Here we provide a similar description for the Brézin-Gross-Witten tau-function. Moreover, we identify both tau-functio...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-09-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP09(2021)013 |
| _version_ | 1818718318359478272 |
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| author | Alexander Alexandrov |
| author_facet | Alexander Alexandrov |
| author_sort | Alexander Alexandrov |
| collection | DOAJ |
| description | Abstract In their recent inspiring paper, Mironov and Morozov claim a surprisingly simple expansion formula for the Kontsevich-Witten tau-function in terms of the Schur Q-functions. Here we provide a similar description for the Brézin-Gross-Witten tau-function. Moreover, we identify both tau-functions of the KdV hierarchy, which describe intersection numbers on the moduli spaces of punctured Riemann surfaces, with the hypergeometric solutions of the BKP hierarchy. |
| first_indexed | 2024-12-17T19:49:08Z |
| format | Article |
| id | doaj.art-46c86a37d0944ccab032ea94491eb19c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-17T19:49:08Z |
| publishDate | 2021-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-46c86a37d0944ccab032ea94491eb19c2022-12-21T21:34:46ZengSpringerOpenJournal of High Energy Physics1029-84792021-09-012021911510.1007/JHEP09(2021)013Intersection numbers on M ¯ g , n $$ {\overline{M}}_{g,n} $$ and BKP hierarchyAlexander Alexandrov0Center for Geometry and Physics, Institute for Basic Science (IBS)Abstract In their recent inspiring paper, Mironov and Morozov claim a surprisingly simple expansion formula for the Kontsevich-Witten tau-function in terms of the Schur Q-functions. Here we provide a similar description for the Brézin-Gross-Witten tau-function. Moreover, we identify both tau-functions of the KdV hierarchy, which describe intersection numbers on the moduli spaces of punctured Riemann surfaces, with the hypergeometric solutions of the BKP hierarchy.https://doi.org/10.1007/JHEP09(2021)0132D GravityIntegrable HierarchiesMatrix Models |
| spellingShingle | Alexander Alexandrov Intersection numbers on M ¯ g , n $$ {\overline{M}}_{g,n} $$ and BKP hierarchy Journal of High Energy Physics 2D Gravity Integrable Hierarchies Matrix Models |
| title | Intersection numbers on M ¯ g , n $$ {\overline{M}}_{g,n} $$ and BKP hierarchy |
| title_full | Intersection numbers on M ¯ g , n $$ {\overline{M}}_{g,n} $$ and BKP hierarchy |
| title_fullStr | Intersection numbers on M ¯ g , n $$ {\overline{M}}_{g,n} $$ and BKP hierarchy |
| title_full_unstemmed | Intersection numbers on M ¯ g , n $$ {\overline{M}}_{g,n} $$ and BKP hierarchy |
| title_short | Intersection numbers on M ¯ g , n $$ {\overline{M}}_{g,n} $$ and BKP hierarchy |
| title_sort | intersection numbers on m ¯ g n overline m g n and bkp hierarchy |
| topic | 2D Gravity Integrable Hierarchies Matrix Models |
| url | https://doi.org/10.1007/JHEP09(2021)013 |
| work_keys_str_mv | AT alexanderalexandrov intersectionnumbersonmgnoverlinemgnandbkphierarchy |