Loop equations and topological recursion for the arbitrary-$β$ two-matrix model

Details Loop equations and topological recursion for the arbitrary-$β$ two-matrix model Loop equations and topological recursion for the arbitrary-$β$ two-matrix model

2011-06-01

arxiv.org/abs/1106.0332v2

Physics

Mathematical Physics

83 pages; JHEP 2012

Scientific paper

We write the loop equations for the $\beta$ two-matrix model, and we propose a topological recursion algorithm to solve them, order by order in a small parameter. We find that to leading order, the spectral curve is a "quantum" spectral curve, i.e. it is given by a differential operator (instead of an algebraic equation for the hermitian case). Here, we study the case where that quantum spectral curve is completely degenerate, it satisfies a Bethe ansatz, and the spectral curve is the Baxter TQ relation.

Affiliated with

Also associated with

No associations

Rating

Loop equations and topological recursion for the arbitrary-$β$ two-matrix model 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 topological recursion for the arbitrary-$β$ two-matrix model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Loop equations and topological recursion for the arbitrary-$β$ two-matrix model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-494137