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Virasoro constraints revisited

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arxiv 2102.05682 v1 pith:7FJWDENJ submitted 2021-02-10 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords constraintsvirasoromatrixsolutionbilinearboundariescasecoming
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We revisit the Virasoro constraints and explore the relation to the Hirota bilinear equations. We furthermore investigate and provide the solution to non-homogeneous Virasoro constraints, namely those coming from matrix models whose domain of integration has boundaries. In particular, we provide the example of Hermitean matrices with positive eigenvalues in which case one can find a solution by induction on the rank of the matrix model.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Phases in WLZZ Matrix Models

    hep-th 2025-07 conditional novelty 6.0 of 10

    For WLZZ two-matrix models, integration contours describe only a finite-N subspace of Ward identity solutions, and the full solution space is recovered only in the N-to-infinity limit.

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