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We prove that the Langmann-Szabo-Zarembo (LSZ) model with quartic potential, a toy model for a quantum field theory on noncommutative spaces grasped as a complex matrix model, obeys topological recursion of Chekhov, Eynard and Orantin.
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On the triviality of λ ϕ d 4 \lambda\phi^{4}_{d} theories and the approach to the critical point in d ≥ 4 d\geq 4 dimensions
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E. Langmann and T. Szabo and K. Zarembo · 2004
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Matrix integrals and the generation and counting of virtual tangles and links
P. Zinn-Justin and J. B. Zuber · 2004
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Mixed correlation functions in the 2-matrix model, and the Bethe ansatz
B. Eynard and N. Orantin, · 2005
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G. Borot, B. Eynard, and N. Orantin · 2015
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V. Bouchard and B. Eynard · 2016
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Counting Surfaces
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Blobbed topological recursion: properties and applications
G. Borot and S. Shadrin · 2017
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B. Eynard · 2017
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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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A. Hock · 2005
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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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2-matrix versus complex matrix model, integrals over the unitary group as triangular integrals
B. Eynard and A. Ferrer · 2006
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Vanishing of beta function of non-commutative ϕ 4 4 \phi^{4}_{4} theory to all orders
M. Disertori, R. Gurau, J. Magnen, and V. Rivasseau · 2007
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Invariants of algebraic curves and topological expansion
B. Eynard and N. Orantin · 2007
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Bijections for planar maps with boundaries
O. Bernardi and E. Fusy · 2018
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Noncommutative 3-colour scalar quantum field theory model in 2D
A. Hock and R. Wulkenhaar · 2018
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Quantum field theory on noncommutative spaces
R. Wulkenhaar · 2019
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Simple maps, Hurwitz numbers, and Topological Recursion
G. Borot and E. Garcia-Failde · 2020
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Solution of the self-dual Φ 4 \Phi^{4} QFT-model on four-dimensional Moyal space
H. Grosse, A. Hock, and R. Wulkenhaar · 2020
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Lambert-W solves the noncommutative Φ 4 \Phi^{4} -model
E. Panzer and R. Wulkenhaar · 2020
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Complex (super)-matrix models with external sources and q-ensembles of Chern-Simons and ABJ(M) type
L. Santilli and M. Tierz · 2020
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Marginal triviality of the scaling limits of critical 4D Ising and ϕ 4 4 \phi_{4}^{4} models
M. Aizenman and H. Duminil-Copin · 2021
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Topological recursion for generalised Kontsevich graphs and r-spin intersection numbers
R. Belliard, S. Charbonnier, B. Eynard, and E. Garcia-Failde · 2021
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Topological recursion for fully simple maps from ciliated maps
G. Borot, S. Charbonnier, and E. Garcia-Failde · 2021
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Analytic theory of higher order free cumulants
G. Borot, S. Charbonnier, E. Garcia-Failde, F. Leid, and S. Shadrin · 2021
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From scalar fields on quantum spaces to blobbed topological recursion
J. Branahl, H. Grosse, A. Hock, and R. Wulkenhaar · 2021
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Perturbative and geometric analysis of the quartic Kontsevich Model
J. Branahl, A. Hock, and R. Wulkenhaar · 2021
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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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A spectral curve for the generation of bipartite maps in topological recursion
J. Branahl and A. Hock · 2022
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On the x x - y y Symmetry of Correlators in Topological Recursion via Loop Insertion Operator
A. Hock · 2022
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