Details

Autor(en) / Beteiligte

• Bergère, M.
• Eynard, B.
• Marchal, O.
• Prats-Ferrer, A.

Titel

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

Ist Teil von

• The journal of high energy physics, 2012-03, Vol.2012 (3), Article 98

Ort / Verlag

Berlin/Heidelberg: Springer-Verlag

Erscheinungsjahr

2012

Quelle

Springer journals

Beschreibungen/Notizen

• A bstract We write the loop equations for the β 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.