Wilson loop operators in ABJM theory provide a rich arena for studying defect conformal field theories (dCFTs) and the renormalization group (RG) flows connecting them. While these are well understood at weak coupling, a complete strong-coupling picture remains an open problem. In this paper, we present a systematic strong-coupling analysis of the fixed points and operator spec- trum underlying defect RG flows in ABJM, via holography. By examining fluctuations of funda- mental strings in the AdS4 × CP3 background around classical AdS2 solutions, we map world- sheet excitations to the operators in the dual dCFT which are responsible for the flows and deter- mine their scaling dimensions, including subleading corrections from one-loop worldsheet effects. We show how different boundary conditions on string coordinates correspond to distinct opera- tors and provide a geometric realization of the RG flows through interpolating boundary condi- tions. We apply this framework to fermionic 1/2 BPS, bosonic 1/6 BPS, and non-supersymmetric Wilson loops, establishing a coherent strong-coupling picture in which the 1/2 BPS loop is IR sta- ble, the 1/6 BPS loop acts as a saddle point, and the non-supersymmetric configuration emerges as a natural UV fixed point. We also advance a proposal for the holographic dual of a second non- supersymmetric loop, in terms of averaging over Dirichlet boundary conditions.
Strong coupling dynamics of defect RG flows in ABJM / S Bianchi, M., Castiglioni, L., Penati, S., Tenser, M., Trancanelli, D.. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 59:335403(2026), pp. 1-24. [10.1088/1751-8121/ae91a2]
Strong coupling dynamics of defect RG flows in ABJM
Diego Trancanelli
2026
Abstract
Wilson loop operators in ABJM theory provide a rich arena for studying defect conformal field theories (dCFTs) and the renormalization group (RG) flows connecting them. While these are well understood at weak coupling, a complete strong-coupling picture remains an open problem. In this paper, we present a systematic strong-coupling analysis of the fixed points and operator spec- trum underlying defect RG flows in ABJM, via holography. By examining fluctuations of funda- mental strings in the AdS4 × CP3 background around classical AdS2 solutions, we map world- sheet excitations to the operators in the dual dCFT which are responsible for the flows and deter- mine their scaling dimensions, including subleading corrections from one-loop worldsheet effects. We show how different boundary conditions on string coordinates correspond to distinct opera- tors and provide a geometric realization of the RG flows through interpolating boundary condi- tions. We apply this framework to fermionic 1/2 BPS, bosonic 1/6 BPS, and non-supersymmetric Wilson loops, establishing a coherent strong-coupling picture in which the 1/2 BPS loop is IR sta- ble, the 1/6 BPS loop acts as a saddle point, and the non-supersymmetric configuration emerges as a natural UV fixed point. We also advance a proposal for the holographic dual of a second non- supersymmetric loop, in terms of averaging over Dirichlet boundary conditions.| File | Dimensione | Formato | |
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