{"title":"Continuous quiver gauge theories","authors":"Evgeny Sobko","doi":"10.1103/physrevd.111.046022","DOIUrl":null,"url":null,"abstract":"We consider half-BPS Wilson loops in N</a:mi>=</a:mo>2</a:mn></a:math> long circular quiver gauge theories at large <d:math xmlns:d=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><d:mi>N</d:mi></d:math> with continuous limit shape of ’t Hooft couplings. In the limit of an infinite number of nodes <f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:mi>L</f:mi></f:math>, the solution to the localization matrix model is given by Wigner semicircles for any profile of couplings. Higher-order corrections in <h:math xmlns:h=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><h:mn>1</h:mn><h:mo>/</h:mo><h:mi>L</h:mi></h:math> can be calculated iteratively. Combining large <j:math xmlns:j=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><j:mi>L</j:mi></j:math> 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. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"247 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.046022","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
We consider half-BPS Wilson loops in 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 localization 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. Published by the American Physical Society2025
期刊介绍:
Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics.
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