Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation

Bianchi, Lorenzo; Griguolo, Luca; Preti, Michelangelo; Seminara, Domenico

doi:10.1007/jhep10(2017)050

Cited by 64 publications

(118 citation statements)

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“…The relevant one-point functions: In the presence of a conformal line defect, only operators with even spin can acquire an expectation value [65] (the situation may be different for special cases where parity odd structures are available, but this is not the case for a line defect in four dimensions). Therefore, in our case, the one-point function of (t µ ) J I vanishes: 19) and the only non-zero one-point functions are those of the stress-tensor T µν , of the two antisymmetric tensors H µν andH µν , and the scalar operator O 2 . The one-point function of the stress-energy tensor can be extracted from [65] and reads…”

Section: (314)mentioning

confidence: 70%

“…The immediate generalization of the Maldacena Wilson loop turns out to be 1 6 BPS [11-13] and its Bremsstrahlung function was already proposed in [14]. The maximally supersymmetric case [15], instead, involves also fermionic couplings and the computation of the exact Bremsstrahlung function required a long effort [16][17][18][19][20] culminated in the closed-form expression presented in [21].The crucial progress of [14] was the conjecture that the Bremsstrahlung function of N = 4 SYM and ABJM theory could be related to the one-point function of the stress tensor operator in the presence of the Wilson line. Motivated by this proposal and by strong perturbative evidence, the authors of [22] extended this conjecture to the case of N = 2 conformal theories in four dimensions.…”

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confidence: 99%

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Emitted radiation and geometry

Bianchi

Billó

Galvagno

et al. 2020

J. High Energ. Phys.

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In conformal N = 2 Super Yang-Mills theory, the energy emitted by an accelerated heavy particle is computed by the one-point function of the stress tensor operator in the presence of a Wilson line. In this paper, we consider the theory on the ellipsoid and we prove a conjectured relation between the stress tensor one-point function and the first order expansion of the Wilson loop expectation value in the squashing parameter. To do this, we analyze the behavior of the Wilson loop for a small deformation of the background geometry and, at first order in the deformation, we fix the kinematics using defect CFT constraints. In the final part of the paper, we analyze the consequences of our results for the weak coupling perturbative expansion. In particular, comparing the weakly coupled matrix model with the ordinary Feynman diagram expansion, we find a natural transcendentality driven organization for the latter. Keywords: N = 2 conformal SYM theories, Wilson loops, Brehmsstrahlung, rigid supersymmetry dimensions has no scale, thus the straight Wilson line can be treated as a conformal defect. The emitted radiation is computed by slightly deforming the shape of the defect.As usual, things get harder when one considers non-Abelian gauge theories, which are strongly coupled at low energies and where conformality is broken by quantum corrections. In light of this complexity, it is useful to restrict our attention to those examples of strongly interacting gauge theories which preserve conformality. These cases typically come with a larger symmetry group which includes supersymmetry, making them much more tractable. For the maximally supersymmetric theory in four dimensions, N = 4 Super Yang Mills (SYM) theory, the combination of defect techniques and supersymmetric localization led to the derivation of a beautiful formula for the Bremsstrahlung function associated with the Maldacena Wilson loop [1,2], preserving half of the supercharges. Shortly after, the same result was confirmed by an integrability computation [3,4], providing one of the few examples of a quantity that is accessible to both techniques 1 . The work of [1] heavily relied on the interpretation of the Wilson line as a superconformal defect. In particular, it was pointed out that the Bremsstrahlung function can be computed as the two-point function of an important defect operator, called the displacement operator. Furthermore, the same quantity can be related to the small angle limit of the cusp anomalous dimension, thus providing an interesting connection with massive scattering amplitudes.Similar developments allowed to find an exact expression for the Bremsstrahlung function in ABJM theory [9], a three-dimensional relative of N = 4 SYM. In that case, two superconformal Wilson lines are known (see [10] for a recent review). The immediate generalization of the Maldacena Wilson loop turns out to be 1 6 BPS [11-13] and its Bremsstrahlung function was already proposed in [14]. The maximally supersymmetric case [15], instead, involves also fermionic couplings ...

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Section: (314)mentioning

confidence: 70%

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confidence: 99%

Emitted radiation and geometry

Bianchi

Billó

Galvagno

et al. 2020

J. High Energ. Phys.

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“…It would be interesting to study the interpolating Wilson loop perturbatively as in [22] and also to compute higher point holographic correlators as in [36]. The study of correlators in defect CFT's defined by ABJM Wilson lines [37,38] could be extended to the whole family of interpolating Wilson loops. Similarly, the setup becomes adequate to study integrability aspects of this interpolating Wilson loop not only from the gravity side but also from the field theory as was done for N = 4 SYM case in [39].…”

Section: Discussionmentioning

confidence: 99%

Supersymmetric mixed boundary conditions in AdS2 and DCFT1 marginal deformations

Correa

Giraldo-Rivera

Silva

2020

J. High Energ. Phys.

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“…This result deserves some comments: Firstly, while the framing-dependent contributions seem to exponentiate as in (6.3), the exponent becomes a non trivial function of the coupling, as opposed to the simple linear exponent of pure Chern-Simons theory; secondly, the analysis of [38] shows that while up to two-loops all the framing contributions came from purely gauge contractible propagators, at three-loops vertex-like diagrams with matter also contribute to the framing anomaly. An interesting consequence of the non-triviality of the exponent of (6.4) has to do with the fact [39][40][41][42] that the Bremsstrahlung function (Chapter 10 and 11) associated to 1/2 BPS Wilson loops in ABJM theory (N 1 = N 2 ) can be written as…”

Section: Enter Mattermentioning

confidence: 99%

Roadmap on Wilson loops in 3d Chern–Simons-matter theories

Drukker¹,

Trancanelli²,

Bianchi³

et al. 2020

J. Phys. A: Math. Theor.

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112

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This is a compact review of recent results on supersymmetric Wilson loops in ABJ(M) and related theories. It aims to be a quick introduction to the state of the art in the field and a discussion of open problems. It is divided into short chapters devoted to different questions and techniques. Some new results, perspectives and speculations are also presented. We hope this might serve as a baseline for further studies of this topic. Prepared for submission to J. Phys. A.

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Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation

Cited by 64 publications

References 74 publications

Emitted radiation and geometry

Emitted radiation and geometry

Supersymmetric mixed boundary conditions in AdS2 and DCFT1 marginal deformations

Roadmap on Wilson loops in 3d Chern–Simons-matter theories

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