q-Painlevé equation from Virasoro constraints

The q-Painlevé equation, satisfied by the Fourier transform of the q-Virasoro conformal blocks at c=1, is interpreted as a reformulation of the string equation and two other Virasoro constraints in the 5d Dotsenko–Fateev matrix model.

Bibliographic Details
Main Authors: A. Mironov, A. Morozov
Format: Article
Language:English
Published: Elsevier 2018-10-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318306610
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spelling doaj-ca715724859840c38b13aa88725470f72020-11-24T22:05:34ZengElsevierPhysics Letters B0370-26932018-10-01785207210q-Painlevé equation from Virasoro constraintsA. Mironov0A. Morozov1Lebedev Physics Institute, Moscow 119991, Russia; ITEP, Moscow 117218, Russia; Institute for Information Transmission Problems, Moscow 127994, Russia; National Research Nuclear University MEPhI, Moscow 115409, Russia; Corresponding author.ITEP, Moscow 117218, Russia; Institute for Information Transmission Problems, Moscow 127994, Russia; National Research Nuclear University MEPhI, Moscow 115409, RussiaThe q-Painlevé equation, satisfied by the Fourier transform of the q-Virasoro conformal blocks at c=1, is interpreted as a reformulation of the string equation and two other Virasoro constraints in the 5d Dotsenko–Fateev matrix model.http://www.sciencedirect.com/science/article/pii/S0370269318306610
collection DOAJ
language English
format Article
sources DOAJ
author A. Mironov
A. Morozov
spellingShingle A. Mironov
A. Morozov
q-Painlevé equation from Virasoro constraints
Physics Letters B
author_facet A. Mironov
A. Morozov
author_sort A. Mironov
title q-Painlevé equation from Virasoro constraints
title_short q-Painlevé equation from Virasoro constraints
title_full q-Painlevé equation from Virasoro constraints
title_fullStr q-Painlevé equation from Virasoro constraints
title_full_unstemmed q-Painlevé equation from Virasoro constraints
title_sort q-painlevé equation from virasoro constraints
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2018-10-01
description The q-Painlevé equation, satisfied by the Fourier transform of the q-Virasoro conformal blocks at c=1, is interpreted as a reformulation of the string equation and two other Virasoro constraints in the 5d Dotsenko–Fateev matrix model.
url http://www.sciencedirect.com/science/article/pii/S0370269318306610
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