The non-linear supersymmetric hyperbolic sigma model on a complete graph with hierarchical interactions

Margherita Disertori; Franz Merkl; Silke W.W. Rolles

doi:10.30757/ALEA.V19-62

The non-linear supersymmetric hyperbolic sigma model on a complete graph with hierarchical interactions

Margherita Disertori, Franz Merkl, Silke W.W. Rolles

Associate Professorship of Probability Theory

Research output: Contribution to journal › Article › peer-review

Abstract

We study the non-linear supersymmetric hyperbolic sigma model H^2j2 on a complete graph with hierarchical interactions. For interactions which do not decrease too fast in the hierarchical distance, we prove tightness of certain spin variables in horospherical coordinates, uniformly in the pinning and in the size of the graph.

Original language	English
Pages (from-to)	1629-1648
Number of pages	20
Journal	Alea
Volume	19
Issue number	2
DOIs	https://doi.org/10.30757/ALEA.V19-62
State	Published - 2022

Keywords

effective model
hierarchical interactions
non-linear supersymmetric hyperbolic sigma model
supersymmetry

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10.30757/ALEA.V19-62

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abstract = "We study the non-linear supersymmetric hyperbolic sigma model H2j2 on a complete graph with hierarchical interactions. For interactions which do not decrease too fast in the hierarchical distance, we prove tightness of certain spin variables in horospherical coordinates, uniformly in the pinning and in the size of the graph.",

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KW - supersymmetry

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The non-linear supersymmetric hyperbolic sigma model on a complete graph with hierarchical interactions

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Keywords

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