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Virasoro constraints revisited

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abstract

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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hep-th 1

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2025 1

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representative citing papers

Phases in WLZZ Matrix Models

hep-th · 2025-07-07 · conditional · novelty 6.0

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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  • Phases in WLZZ Matrix Models hep-th · 2025-07-07 · conditional · none · ref 7 · internal anchor

    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.