Work

1/2 BPS Wilson loops in non-conformal $$ \mathcal{N} $$ = 2 gauge theories and localization: a three-loop analysis

Year: 2025

Type: article

Abstract: A bstract We study the 1/2 BPS circular Wilson loop in four-dimensional SU( N ) $$ \mathcal{N} $$ N = 2 SYM theories with massless hypermultiplets and non-vanishing β -function. Using supersymmetric localization on 𝕊 4 , we map the path-integral associated with this observable onto an interacting matrix model. Despite the breaking of conformal symmetry at the quantum level, we show that, within a specific regime, the matrix model predictions remain consistent with the perturbative results in flat space up to order g 6 . At this order, our analysis reveals that the reorganization of Feynman diagrams based on the matrix model interaction potential, widely tested in (super)conformal models, also applies to these non-conformal set-ups and is realized by interference mechanisms.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep02(2025)076

Authors: M. Billò, L. Griguolo, A. Testa

Institutions: Istituto Nazionale di Fisica Nucleare, Sezione di Torino, University of Turin, University of Parma, Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Parma

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Ministero dell’Istruzione, dell’Università e della Ricerca

Award: G7762532878