2017年12月
On Painlevé/gauge theory correspondence
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- 巻
- 107
- 号
- 12
- 開始ページ
- 2359
- 終了ページ
- 2413
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/s11005-017-0983-6
We elucidate the relation between Painlev\'e equations and four-dimensional<br />
rank one ${\cal N= 2}$ theories by identifying the connection associated to<br />
Painlev\'e isomonodromic problems with the oper limit of the flat connection of<br />
the Hitchin system associated to gauge theories and by studying the<br />
corresponding renormalisation group flow. Based on this correspondence we<br />
provide long-distance expansions at various canonical rays for all Painlev\'e<br />
functions in terms of magnetic and dyonic Nekrasov partition functions for<br />
${\cal N= 2}$ SQCD and Argyres-Douglas theories at self-dual Omega background<br />
$\epsilon_1+\epsilon_2= 0$, or equivalently in terms of $c= 1$ irregular<br />
conformal blocks.
rank one ${\cal N= 2}$ theories by identifying the connection associated to<br />
Painlev\'e isomonodromic problems with the oper limit of the flat connection of<br />
the Hitchin system associated to gauge theories and by studying the<br />
corresponding renormalisation group flow. Based on this correspondence we<br />
provide long-distance expansions at various canonical rays for all Painlev\'e<br />
functions in terms of magnetic and dyonic Nekrasov partition functions for<br />
${\cal N= 2}$ SQCD and Argyres-Douglas theories at self-dual Omega background<br />
$\epsilon_1+\epsilon_2= 0$, or equivalently in terms of $c= 1$ irregular<br />
conformal blocks.
- リンク情報
-
- DOI
- https://doi.org/10.1007/s11005-017-0983-6
- arXiv
- http://arxiv.org/abs/arXiv:1612.06235
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000414390000006&DestApp=WOS_CPL
- URL
- http://arxiv.org/abs/1612.06235v1
- ID情報
-
- DOI : 10.1007/s11005-017-0983-6
- ISSN : 0377-9017
- eISSN : 1573-0530
- arXiv ID : arXiv:1612.06235
- Web of Science ID : WOS:000414390000006