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.
Cassia, L., Lodin, R., Zabzine, M. (2021). Virasoro Constraints Revisited. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 387(3), 1729-1755 [10.1007/s00220-021-04138-3].
Virasoro Constraints Revisited
Cassia L.
;
2021
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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