vix.ing · top · new · best · stats · spec

Continuous Quivers

2024/06/20 by Evgeny Sobko, Sobko, Evgeny
Mathematics · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #History and Theory of Mathematics

paper · pdf · doi:10.48550/arxiv.2406.14203

openalex publication_date 2024/06/20 · openalex created_date 2024/06/22 · openalex updated_date 2026/07/28

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 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.

Related