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q-Painleve equation from Virasoro constraints

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arxiv 1708.07479 v1 pith:SPAUXB65 submitted 2017-08-24 hep-th

q-Painleve equation from Virasoro constraints

classification hep-th
keywords equationconstraintsq-painlevevirasoroblocksconformaldotsenko-fateevfourier
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

The q-Painleve 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.

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