English

Virasoro constraints revisited

High Energy Physics - Theory 2022-02-16 v1 Mathematical Physics math.MP

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.

Cite

@article{arxiv.2102.05682,
  title  = {Virasoro constraints revisited},
  author = {Luca Cassia and Rebecca Lodin and Maxim Zabzine},
  journal= {arXiv preprint arXiv:2102.05682},
  year   = {2022}
}

Comments

22 pages

R2 v1 2026-06-23T23:02:56.686Z