RT Journal Article
T1 Large N expansions and Painlevé hierarchies in the Hermitian matrix model
A1 Álvarez Galindo, Gabriel
A1 Martínez Alonso, Luis
A1 Medina Reus, Elena
AB We present a method to characterize and compute the large N formal asymptotics of regular and critical Hermitian matrix models with general even potentials in the one-cut and two-cut cases. Our analysis is based on a method to solve continuum limits of the discrete string equation which uses the resolvent of the Lax operator of the underlying Toda hierarchy. This method also leads to an explicit formulation, in terms of coupling constants and critical parameters, of the members of the Painlevé I and Painlevé II hierarchies associated with one-cut and two-cut critical models, respectively.
PB IOP Publishing Ltd
SN 1751-8113
YR 2011
FD 2011-07-15
LK https://hdl.handle.net/20.500.14352/43700
UL https://hdl.handle.net/20.500.14352/43700
LA eng
NO © 2011 IOP Publishing Ltd. The financial support of the Universidad Complutense under project GR35/10-A910556, the Comision Interministerial de Ciencia y Tecnología under projects FIS2008-00200 and FIS2008-00209 are gratefully acknowledged.
NO Universidad Complutense
NO Comisión Interministerial de Ciencia y Tecnología
DS Docta Complutense
RD 10 abr 2025