Details

Autor(en) / Beteiligte

• Ambjørn, J.
• Chekhov, L.
• Makeenko, Y.

Titel

Perturbed generalized multicritical one-matrix models

Ist Teil von

• Nuclear physics. B, 2018-03, Vol.928 (C), p.1-20

Ort / Verlag

Elsevier B.V

Erscheinungsjahr

2018

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We study perturbations around the generalized Kazakov multicritical one-matrix model. The multicritical matrix model has a potential where the coefficients of zn only fall off as a power 1/ns+1. This implies that the potential and its derivatives have a cut along the real axis, leading to technical problems when one performs perturbations away from the generalized Kazakov model. Nevertheless it is possible to relate the perturbed partition function to the tau-function of a KdV hierarchy and solve the model by a genus expansion in the double scaling limit.