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The tensor Harish-Chandra-Itzykson-Zuber integral: I. Weingarten calculus and a generalization of monotone Hurwitz numbers

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We study a generalization of the Harish-Chandra - Itzykson - Zuber integral to tensors and its expansion over trace-invariants of the two external tensors. This gives rise to natural generalizations of monotone double Hurwitz numbers, which count certain families of constellations. We find an expres...

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Main Authors: Collins, Benoît (Author) , Gurǎu, Rǎzvan (Author) , Lionni, Luca (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 25 Jan 2022
Edition:Version v2
In: Arxiv
Year: 2020, Pages: 1-43
Online Access:Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2010.13661
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Author Notes:Benoît Collins, Razvan Gurau, Luca Lionni
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The tensor Harish-Chandra-Itzykson-Zuber integral I: Weingarten calculus and a generalization of monotone Hurwitz numbers by Collins, Benoît (Author) , Gurǎu, Rǎzvan (Author) , Lionni, Luca (Author) ,


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