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arXiv · 2312.13283

Interpolating Bremsstrahlung function in ABJM

Luigi Castiglioni·Silvia Penati·Marcia Tenser·Diego Trancanelli
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Abstract

In ABJM theory, enriched RG flows between circular 1/6 BPS bosonic and 1/2 BPS fermionic Wilson loops have been introduced in arXiv:2211.16501. 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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Luigi Castiglioni, Silvia Penati, Marcia Tenser, Diego Trancanelli. 2024-08-31. Interpolating Bremsstrahlung function in ABJM. https://doi.org/10.1103/physrevd.109.126010

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