Work

Supersymmetric Localization and Nonconformal N = 2 Supersymmetric Yang-Mills Theories in the Perturbative Regime

Year: 2025

Type: article

Abstract: We examine the relation between supersymmetric localization on S^{4} and standard QFT results for nonconformal theories in flat space. Specifically, we consider 1/2 BPS circular Wilson loops in four-dimensional SU(N) N=2 supersonic Yang-Mills theories with massless hypermultiplets in an arbitrary representation R such that the β function is nonvanishing. On S^{4}, localization maps this observable into an interacting matrix model. Despite broken conformal symmetry at the quantum level, we show that within a specific regime of validity the matrix model predictions are consistent with perturbation theory in flat space up to order g^{6}. At this order, the reorganization of Feynman diagrams based on the matrix model potential, which has been widely tested in conformal models, also applies in nonconformal setups and is realized, in perturbative field theory, through highly nontrivial interference mechanisms.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.134.071601

Authors: Marco Billò, Luca Griguolo, Alessandro Testa

Institutions: Istituto Nazionale di Fisica Nucleare, Sezione di Torino, University of Turin, University of 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: hybrid

Estimated APC paid: $3,750

Funders: Ministero dell’Istruzione, dell’Università e della Ricerca, Instituto Nazionale di Fisica Nucleare