An algebraic approach to a quartic analogue of the Kontsevich model

Jörg Schürmann, Raimar Wulkenhaar

We consider an analogue of Kontsevich's matrix Airy function where the cubic potential $\mathrm{Tr}({\Phi }^3)$ is replaced by a quartic term $\mathrm{Tr}({\Phi }^4)$. Cumulants of the resulti…