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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

A. Mironov , A. Morozov This is my paper · ORCID
classification hep-th
keywords equationconstraintsq-painlevevirasoroblocksconformaldotsenko-fateevfourier
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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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  1. Five-brane webs, 3d $\mathcal{N}=2$ theories and quantum curves

    hep-th 2025-01 conditional novelty 7.0 of 10

    The Newton polygon of the quantum curve for a 3d N=2 brane configuration is conjectured to equal the toric diagram dual to its (p,q) 5-brane web, with derivations for Lagrangian cases and new matrix models for p>=2.

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