Framed defects in ABJ(M)

Fuente: arXiv
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Autori principali: Bianchi, Marco S., Castiglioni, Luigi, Penati, Silvia, Tenser, Marcia, Trancanelli, Diego
Natura: Preprint
Pubblicazione: 2025
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author Bianchi, Marco S.
Castiglioni, Luigi
Penati, Silvia
Tenser, Marcia
Trancanelli, Diego
author_facet Bianchi, Marco S.
Castiglioni, Luigi
Penati, Silvia
Tenser, Marcia
Trancanelli, Diego
contents We investigate the role of framing in a family of 1/24 BPS Wilson loops in ABJ(M) theory, which define flows between 1/6 BPS and the 1/2 BPS superconformal fixed points. We analyze in perturbation theory how framing affects both the expectation values of these operators and the correlation functions of local insertions on the defect, as well as its interplay with RG flow and the g-theorem. We obtain a non-trivial identity between the one-point function of the defect stress tensor and a Q-exact correlator, which establishes a direct link between scale invariance, superconformal invariance and framing, and clarifies the deep connection between scale and cohomological anomalies. Finally, we propose a holographic interpretation of framing at strong coupling, identifying it with a coupling to the background B-field in the dual string theory.
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id arxiv_https___arxiv_org_abs_2508_21068
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Framed defects in ABJ(M)
Bianchi, Marco S.
Castiglioni, Luigi
Penati, Silvia
Tenser, Marcia
Trancanelli, Diego
High Energy Physics - Theory
We investigate the role of framing in a family of 1/24 BPS Wilson loops in ABJ(M) theory, which define flows between 1/6 BPS and the 1/2 BPS superconformal fixed points. We analyze in perturbation theory how framing affects both the expectation values of these operators and the correlation functions of local insertions on the defect, as well as its interplay with RG flow and the g-theorem. We obtain a non-trivial identity between the one-point function of the defect stress tensor and a Q-exact correlator, which establishes a direct link between scale invariance, superconformal invariance and framing, and clarifies the deep connection between scale and cohomological anomalies. Finally, we propose a holographic interpretation of framing at strong coupling, identifying it with a coupling to the background B-field in the dual string theory.
title Framed defects in ABJ(M)
topic High Energy Physics - Theory
url https://arxiv.org/abs/2508.21068