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Interpolating bremsstrahlung function in ABJM model

Luigi Castiglioni^1,*, Silvia Penati ^1,†, Marcia Tenser ^1,‡, and Diego Trancanelli ^2,3,§

¹Dipartimento di Fisica, Università degli Studi di Milano-Bicocca and INFN, Sezione di Milano–Bicocca, Piazza della Scienza 3, 20126 Milano, Italy
²Dipartimento di Scienze Fisiche, Informatiche e Matematiche, Università di Modena e Reggio Emilia, via G. Campi 213/A, 41125 Modena, Italy
³INFN Sezione di Bologna, via Irnerio 46, 40126 Bologna, Italy

^*l.castiglioni8@campus.unimib.it
^†silvia.penati@mib.infn.it
^‡marciatenser@gmail.com
^§dtrancan@gmail.com

Phys. Rev. D 109, 126010 – Published 12 June, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.126010

Abstract

In ABJM theory, enriched RG flows between circular $1 / 6$ BPS bosonic and $1 / 2$ BPS fermionic Wilson loops have been introduced in L. Castiglioni et al. [L. Castiglioni, S. Penati, M. Tenser, and D. Trancanelli, Interpolating Wilson loops and enriched RG flows, J. High Energy Phys. 08 (2023) 106.]. These flows are triggered by deformations corresponding to parametric $1 / 6$ BPS fermionic loops. In this paper, we revisit the study of these operators, but instead of circular contours, we consider an interpolating cusped line and a latitude and study their RG flow in perturbation theory. This allows for the definition of a bremsstrahlung function away from fixed points. We generalize to this case the known cusp/latitude correspondence that relates the bremsstrahlung function to a latitude Wilson loop. We find that away from the conformal fixed points the ordinary identity is broken by the conformal anomaly in a controlled way. From a defect perspective, the breaking of the correspondence can be traced back to the appearance of an anomalous dimension for fermionic operators localized on the defect. As a by-product, we provide a brand new result for the two-loop cusp anomalous dimension of the $1 / 6$ BPS fermionic and the $1 / 6$ BPS bosonic Wilson lines.

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Phys. Rev. D 109, 126010– Published 12 June, 2024

Vol. 109, Iss. 12 — 15 June 2024

Received 2 April 2024
Accepted 17 May 2024

DOI: https://doi.org/10.1103/PhysRevD.109.126010

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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Interpolating bremsstrahlung function in ABJM model

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