Constant primary operators and where to find them: the strange case of BPS defects in ABJ(M) theory

Gorini, Nicola; Griguolo, Luca; Guerrini, Luigi; Penati, Silvia; Seminara, Domenico; Soresina, Paolo

Abstract

We investigate the one-dimensional defect SCFT defined on the 1/2 BPS Wilson line/loop in ABJ(M) theory. We show that the supermatrix structure of the defect imposes a covariant supermatrix representation of the supercharges. Exploiting this covariant formulation, we prove the existence of a long multiplet whose highest weight state is a constant supermatrix operator. At weak coupling, we study this operator in perturbation theory and confirm that it acquires a non-trivial anomalous dimension. At strong coupling, we conjecture that this operator is dual to the lowest bound state of fluctuations of the fundamental open string in AdS4 × ℂℙ3 around the classical 1/2 BPS solution. Quite unexpectedly, this operator also arises in the cohomological equivalence between bosonic and fermionic Wilson loops. We also discuss some regularization subtleties arising in perturbative calculations on the infinite Wilson line.

Citation

Gorini, N., Griguolo, L., Guerrini, L., Penati, S., Seminara, D., & Soresina, P. (2023). Constant primary operators and where to find them: the strange case of BPS defects in ABJ(M) theory. Journal of High Energy Physics, 2023(2), Article 13 (2023). https://doi.org/10.1007/jhep02%282023%29013

• Journal Article Type: Article
• Acceptance Date: Jan 18, 2023
• Online Publication Date: Feb 2, 2023
• Publication Date: 2023
• Deposit Date: Apr 18, 2023
• Publicly Available Date: Apr 18, 2023
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2023
• Issue: 2
• Article Number: 13 (2023)
• DOI: https://doi.org/10.1007/jhep02%282023%29013
• Public URL: https://durham-repository.worktribe.com/output/1176028