Painlevé equations from Nakajima–Yoshioka blowup relations
Gamayun, Iorgov and Lisovyy in 2012 proposed that tau function of the Painlevé equation is equal to the series of c = 1 Virasoro conformal blocks. We study similar series of c = - 2 conformal blocks and relate it to Painlevé theory. The arguments are based on Nakajima–Yoshioka blowup relations on Ne...
Gespeichert in:
| Veröffentlicht in: | Letters in mathematical physics 2019-11, Vol.109 (11), p.2359-2402 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | Gamayun, Iorgov and Lisovyy in 2012 proposed that tau function of the Painlevé equation is equal to the series of
c
=
1
Virasoro conformal blocks. We study similar series of
c
=
-
2
conformal blocks and relate it to Painlevé theory. The arguments are based on Nakajima–Yoshioka blowup relations on Nekrasov partition functions. We also study series of
q
-deformed
c
=
-
2
conformal blocks and relate it to
q
-Painlevé equation. As an application, we prove formula for the tau function of
q
-Painlevé
A
7
(
1
)
′
equation. |
|---|---|
| ISSN: | 0377-9017 1573-0530 |
| DOI: | 10.1007/s11005-019-01198-4 |