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We consider an analogue of Kontsevich's matrix Airy function where the cubic potential $\mathrm{Tr}(\Phi^3)$ is replaced by a quartic term $\mathrm{Tr}(\Phi^4)$.
Solution of all quartic matrix models
H. Grosse, A. Hock, and R. Wulkenhaar · 1906
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H. Grosse and R. Wulkenhaar · 1906
Earlier work this paper cites.
Bemerkungen zur Theorie der beschränkten Bilinearformen mit unendlich vielen Veränderlichen
J. Schur · 1911
Earlier work this paper cites.
Monotone Funktionen, Stieltjessche Integrale und harmonische Analyse
S. Bochner · 1933
Earlier work this paper cites.
Integral Equations
F. Tricomi · 1957
Earlier work this paper cites.
On the inversion of certain matrices
S. Schechter · 1959
Earlier work this paper cites.
Cumulants and partition lattices
T. P. Speed · 1983
Earlier work this paper cites.
Quadratic differentials
K. Strebel · 1984
Earlier work this paper cites.
Two-dimensional gravity and intersection theory on moduli space
E. Witten · 1990
Earlier work this paper cites.
Properties of Hermitean matrix models in an external field
Yu. Makeenko and G. W. Semenoff · 1991
Earlier work this paper cites.
Combinatorics of the modular group. 2. The Kontsevich integrals
C. Itzykson and J. B. Zuber · 1992
Earlier work this paper cites.
Intersection theory on the moduli space of curves and the matrix Airy function
M. Kontsevich · 1992
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Multiloop correlators for rational theories of 2-d gravity from the generalized Kontsevich models
C. Kristjansen · 1995
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On the affine Bezout inequality
J. Schmid · 1995
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Graphs on surfaces and their applications
S. K. Lando and A. K. Zvonkin · 2004
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Power-counting theorem for non-local matrix models and renormalisation
H. Grosse and R. Wulkenhaar · 2005
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Renormalisation of ϕ 4 \phi^{4} -theory on noncommutative ℝ 4 \mathbb{R}^{4} in the matrix base
H. Grosse and R. Wulkenhaar · 2005
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Blobbed topological recursion of the quartic Kontsevich model I: Loop equations and conjectures
J. Branahl, A. Hock, and R. Wulkenhaar · 2008
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Hurwitz numbers, matrix models and enumerative geometry
V. Bouchard and M. Mariño · 2008
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V. Bouchard, A. Klemm, M. Mariño, and S. Pasquetti · 2009
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Progress in solving a noncommutative quantum field theory in four dimensions
H. Grosse and R. Wulkenhaar · 2009
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Perturbative and geometric analysis of the quartic Kontsevich model
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Free energy topological expansion for the 2-matrix model
L. Chekhov, B. Eynard, and N. Orantin · 2006
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Renormalization of the noncommutative ϕ 3 \phi^{3} -model through the Kontsevich model
H. Grosse and H. Steinacker · 2006
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Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces
M. Mirzakhani · 2006
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Lambert-W solves the noncommutative Φ 4 \Phi^{4} -model
E. Panzer and R. Wulkenhaar · 2020
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Blobbed topological recursion of the quartic Kontsevich model II: Genus=0
A. Hock and R. Wulkenhaar · 2021
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