論文

2017年12月

On Painlevé/gauge theory correspondence

  • Giulio Bonelli
  • ,
  • Oleg Lisovyy
  • ,
  • Kazunobu Maruyoshi
  • ,
  • Antonio Sciarappa
  • ,
  • Alessandro Tanzini

107
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\&#039;e equations and four-dimensional<br />
rank one ${\cal N= 2}$ theories by identifying the connection associated to<br />
Painlev\&#039;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\&#039;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.

Web of Science ® 被引用回数 : 14

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

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