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

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

doi:10.1007/jhep02(2023)013

Cited by 7 publications

(3 citation statements)

References 48 publications

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“…Another interesting direction is to extend our derivation to other integrable gauge theories. The most natural choice would be the three-dimensional ABJM theory where 1D superconformal defect theories supported by Wilson loops were defined in [71,72] and recently studied in [73,74]. The cusp anomalous dimension was studied in [75,76] and the Bremsstrahlung function is known exactly [72,[77][78][79] (see also [80]).…”

Section: Discussionmentioning

confidence: 99%

Integrated correlators from integrability: Maldacena-Wilson line in $$ \mathcal{N} $$ = 4 SYM

Cavaglià

Gromov

Julius

et al. 2023

J. High Energ. Phys.

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We present a systematic method for the derivation of a relation which connects the correlation function of operators on the straight Maldacena-Wilson line with the integrability data for the cusp anomalous dimension. As we show, the derivation requires very careful treatment of the UV divergences. Our method opens a way to derive infinitely many constraints on integrals of multi-point correlation functions, relating them with the integrability data for the generalised cusp anomalous dimension governed by the Quantum Spectral Curve. Such constraints have been shown recently to be very powerful in combination with the numerical conformal bootstrap, leading to very narrow non-perturbative bounds on conformal data beyond the spectrum.

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Section: Discussionmentioning

confidence: 99%

Integrated correlators from integrability: Maldacena-Wilson line in $$ \mathcal{N} $$ = 4 SYM

Cavaglià

Gromov

Julius

et al. 2023

J. High Energ. Phys.

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“…Moreover, the protected sector can furnish useful inputs for the general defect bootstrap problem. While the study of the defect CFT for the fermionic Wilson line has been initiated [53,86,87], nothing is known for correlation functions of bulk operators with defects. We expect the existence of superconformal Ward identities, similar to other supersymmetric setups in 4d [88,89].…”

Section: Discussionmentioning

confidence: 99%

“…For the explicit expressions we refer to [19,54,87]. The action is invariant under the N = 6 superconformal algebra osp(6|4).…”

Section: A Abj(m) Action and Feynman Rulesmentioning

confidence: 99%

On protected defect correlators in 3d $\mathcal{N}\ge4$ theories

Guerrini¹

2023

Preprint

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We study and compute supersymmetric observables for line defects in 3d N ≥ 4 theories. Our setup is a novel supersymmetric configuration involving line operators and local operators living on a linked circle. The algebra of the local operators is described by a topological quantum mechanics. For operators belonging to conserved current multiplets, we propose an exact formula for their correlation functions based on a Ward identity for integrated correlators. Our formula gives a general recipe to compute the bremsstrahlung function for any 1 3 -BPS lines in N = 6 SCFTs. We apply our relation to the 1 2 -BPS Wilson loop in the ABJM model, showing the validity of previous computations. Furthermore, our construction allows us to explore higher points correlators. As an example, we compute the two-point function of the stress tensor multiplet correlators in ABJM theory in the presence of the Wilson line. We also present some perturbative checks of our formulae.

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Analytic bootstrap for magnetic impurities

Bianchi,

Bonomi,

de Sabbata

et al. 2024

J. High Energ. Phys.

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We study the O(3) critical model and the free theory of a scalar triplet in the presence of a magnetic impurity. We use analytic bootstrap techniques to extract results in the ε-expansion. First, we extend by one order in perturbation theory the computation of the beta function for the defect coupling in the free theory. Then, we analyze in detail the low-lying spectrum of defect operators, focusing on their perturbative realization when the defect is constructed as a path-ordered exponential. After this, we consider two different bulk two-point functions and we compute them using the defect dispersion relation. For a free bulk theory, we are able to fix the form of the correlator at all orders in ε. In particular, taking ε → 1, we can show that in d = 3 one does not have a consistent and non-trivial defect CFT. For an interacting bulk, we compute the correlator up to second order in ε. Expanding these results in the bulk and defect block expansions, we are able to extract an infinite set of defect CFT data. We discuss low-spin ambiguities that affect every result computed through the dispersion relation and we use a combination of consistency conditions and explicit diagrammatic calculations to fix this ambiguity.

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

Cited by 7 publications

References 48 publications

Integrated correlators from integrability: Maldacena-Wilson line in $$ \mathcal{N} $$ = 4 SYM

Integrated correlators from integrability: Maldacena-Wilson line in $$ \mathcal{N} $$ = 4 SYM

On protected defect correlators in 3d $\mathcal{N}\ge4$ theories

Analytic bootstrap for magnetic impurities

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