Enumeration of N-rooted maps using quantum field theory

Gopala, K. Krishna; Labelle, Patrick; Shramchenko, Vasilisa

doi:10.1016/j.nuclphysb.2018.09.017

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Enumeration of N-rooted maps using quantum field theory

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Labelle, Patrick
Max Planck Institute for Mathematics, Max Planck Society;

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Shramchenko, Vasilisa
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1016/j.nuclphysb.2018.09.017
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arXiv:1709.01200.pdf
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Krishna-Labelle-Shramchenko_Enumeration of N-rooted maps using quantum field theory_2018.pdf
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Citation

Gopala, K. K., Labelle, P., & Shramchenko, V. (2018). Enumeration of N-rooted maps using quantum field theory. Nuclear Physics B, 936, 668-689. doi:10.1016/j.nuclphysb.2018.09.017.

Cite as: https://hdl.handle.net/21.11116/0000-0003-D636-F

Abstract

A one-to-one correspondence is proved between the N-rooted ribbon graphs, or
maps, with e edges and the (e-N+1)-loop Feynman diagrams of a certain quantum
field theory. This result is used to obtain explicit expressions and relations for the generating functions of N-rooted maps and for the numbers of N-rooted maps with a given number of edges using the path integral approach applied to the corresponding quantum field theory.