Loop Equations and the Topological Phase of Multi-Cut Matrix Models

Details Loop Equations and the Topological Phase of Multi-Cut Matrix Models Loop Equations and the Topological Phase of Multi-Cut Matrix Models

1991-08-22

arxiv.org/abs/hep-th/9108014v1

Int.J.Mod.Phys. A7 (1992) 7693-7711

Physics

High Energy Physics

High Energy Physics - Theory

24pp

Scientific paper

We study the double scaling limit of mKdV type, realized in the two-cut Hermitian matrix model. Building on the work of Periwal and Shevitz and of Nappi, we find an exact solution including all odd scaling operators, in terms of a hierarchy of flows of $2\times 2$ matrices. We derive from it loop equations which can be expressed as Virasoro constraints on the partition function. We discover a ``pure topological" phase of the theory in which all correlation functions are determined by recursion relations. We also examine macroscopic loop amplitudes, which suggest a relation to 2D gravity coupled to dense polymers.

Affiliated with

Also associated with

No associations

Rating

Loop Equations and the Topological Phase of Multi-Cut Matrix Models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Loop Equations and the Topological Phase of Multi-Cut Matrix Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Loop Equations and the Topological Phase of Multi-Cut Matrix Models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-149644