5 papers
Linear relations supplementing BKP for the Kontsevich matrix model with even potential
Raimar Wulkenhaar
With G. Borot we have previously proved that moments of the Kontsevich matrix model with arbitrary potential satisfy quadratic BKP relations. In this note we show that, for even po…
Solution of all quartic matrix models
Harald Grosse, Alexander Hock, Raimar Wulkenhaar
We consider the quartic analogue of the Kontsevich model, which is defined by a measure on Hermitian -matrices, where…
Relationship between a matrix model and harmonic oscillator systems
Harald Grosse, Naoyuki Kanomata, Akifumi Sako +1
A Hermitian matrix model with a Kontsevich-type kinetic term is studied. It was recently discovered that the partition function of this matrix model satisfies the Schröding…
Blobbed topological recursion from extended loop equations
Alexander Hock, Raimar Wulkenhaar
We consider the Hermitian matrix model with measure , where is the Gaussian me…
Symmetry of meromorphic differentials produced by involution identity, and relation to integer partitions
Alexander Hock, Sergey Shadrin, Raimar Wulkenhaar
We prove that meromorphic differentials which are recursively generated by an involution identity are symmetric in all their arguments . The p…