Supersymmetric Localization and Nonconformal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math> Supersymmetric Yang-Mil

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.

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Institutions

Publication Details

Journal
Physical Review Letters
Published
2025-02-18
DOI
https://doi.org/10.1103/physrevlett.134.071601
Citations
2
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
3.74

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article

Supersymmetric Localization and Nonconformal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math> Supersymmetric Yang-Mil

Luca Griguolo, M. Billó, Alessandro Testa
2 citations
Physical Review Letters
Black Holes and Theoretical Physics
3.74
article

Supersymmetric Localization and Nonconformal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math> Supersymmetric Yang-Mil

Luca Griguolo, M. Billó, Alessandro Testa
article en
2 citations

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.

Physical Review LettersVol. 134(7)
University of Parma (IT), Istituto Nazionale di Fisica Nucleare, Sezione di Torino (IT), University of Turin (IT)
Ministero dell’Istruzione, dell’Università e della Ricerca, Instituto Nazionale di Fisica Nucleare
Openalex Percentile: Top 9%
Black Holes and Theoretical Physics
3.74
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Supersymmetric Localization and Nonconformal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math> Supersymmetric Yang-Mil — Luca Griguolo, M. Billó, et al. · Physical Review Letters (2025) | TGRS Research Map | TGRS