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Main Author: Sobko, Evgeny
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.14203
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author Sobko, Evgeny
author_facet Sobko, Evgeny
contents We consider half-BPS Wilson loops in $\mathcal{N} = 2$ long circular quiver gauge theories at large-$N$ with continuous limit shape of 't Hooft couplings. In the limit of an infinite number of nodes $L$, the solution to the localisation matrix model is given by Wigner semicircles for any profile of couplings. Higher-order corrections in $1/L$ can be calculated iteratively. Combining large $L$ with a strong coupling regime we identify a double scaling limit that describes dynamics along a fifth dimension which emerges dynamically from the quiver diagram. We solve the resulting integro-differential equation exactly for a certain range of parameters.
format Preprint
id arxiv_https___arxiv_org_abs_2406_14203
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Continuous Quivers
Sobko, Evgeny
High Energy Physics - Theory
We consider half-BPS Wilson loops in $\mathcal{N} = 2$ long circular quiver gauge theories at large-$N$ with continuous limit shape of 't Hooft couplings. In the limit of an infinite number of nodes $L$, the solution to the localisation matrix model is given by Wigner semicircles for any profile of couplings. Higher-order corrections in $1/L$ can be calculated iteratively. Combining large $L$ with a strong coupling regime we identify a double scaling limit that describes dynamics along a fifth dimension which emerges dynamically from the quiver diagram. We solve the resulting integro-differential equation exactly for a certain range of parameters.
title Continuous Quivers
topic High Energy Physics - Theory
url https://arxiv.org/abs/2406.14203