Virasoro constraints revisited

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.

arXiv comment22 pages

References in corpus (11)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Liouville Correlation Functions from Four-dimensional Gauge Theories
• Fractional M2-branes
• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• Exact Results in ABJM Theory from Topological Strings
• A supermatrix model for N=6 super Chern-Simons-matter theory
• Lectures on 2D gravity and 2D string theory (TASI 1992)
• Generation of Matrix Models by W-operators
• Free fermions and tau-functions
• On matrix models and their $q$-deformations
• Orbifolds and Exact Solutions of Strongly-Coupled Matrix Models

Cited by in corpus (3)

• Non-Abelian W-representation for GKM
• Matrix model partition function by a single constraint
• Superintegrability of matrix Student's distribution