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.

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) [10.1007/JHEP02(2023)013].

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

Gorini N.;Penati S.;
2023

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.
Articolo in rivista - Articolo scientifico
Chern-Simons Theories; Extended Supersymmetry; Supersymmetric Gauge Theory; Wilson; ’t Hooft and Polyakov loops;
English
2-feb-2023
2023
2023
2
13
none
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) [10.1007/JHEP02(2023)013].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/468578
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