Wilson loops in 3d QFT from D-branes in AdS4×CP3

Klusoň, Josef; Panigrahi, Kamal L.

doi:10.1140/epjc/s10052-009-0986-2

Cited by 5 publications

(2 citation statements)

References 39 publications

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“…A similar remark applies to the case of the 1 6 (bosonic) BPS WL [66,67] in the ABJM theory. According to [22] here we get instead of W for the 1 As was argued in [66,67] (see also [72,73]), here the minimal surface solution is smeared over S 2 = CP 1 in CP 3 so there are two scalar 0-modes. This explains the extra factor 1 2…”

Section: Discussionmentioning

confidence: 98%

Strong coupling expansion of circular Wilson loops and string theories in AdS5 × S5 and AdS4 × CP3

Giombi

Tseytlin

2020

J. High Energ. Phys.

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We revisit the problem of matching the strong coupling expansion of the $$ \frac{1}{2} $$ 1 2 BPS circular Wilson loops in $$ \mathcal{N} $$ N = 4 SYM and ABJM gauge theories with their string theory duals in AdS5× S5 and AdS4× CP3, at the first subleading (one-loop) order of the expansion around the minimal surface. We observe that, including the overall factor 1/gs of the inverse string coupling constant, as appropriate for the open string partition function with disk topology, and a universal prefactor proportional to the square root of the string tension T, both the SYM and ABJM results precisely match the string theory prediction. We provide an explanation of the origin of the $$ \sqrt{T} $$ T prefactor based on special features of the combination of one-loop determinants appearing in the string partition function. The latter also implies a natural generalization Zχ ∼ ($$ \sqrt{T}/{g}_{\mathrm{s}} $$ T / g s )χ to higher genus contributions with the Euler number χ, which is consistent with the structure of the 1/N corrections found on the gauge theory side.

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Section: Discussionmentioning

confidence: 98%

Strong coupling expansion of circular Wilson loops and string theories in AdS5 × S5 and AdS4 × CP3

Giombi

Tseytlin

2020

J. High Energ. Phys.

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“…For M = diag(1, 1, −1, −1) and choosing the contour to be the infinite straight line or the great circle the two Wilson operators W B , ŴB become 1/6 BPS. These operators have a dual description in terms of fundamental type IIA strings ending on the Wilson contour at the AdS 4 boundary and smeared along a CP 1 inside CP 3 [47,48,49,50,51].…”

Section: The General Classificationmentioning

confidence: 99%

Superconformal line defects in 3D

Penati¹

2021

Preprint

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We review recent progress in the study of line defects in three-dimensional Chern-Simons-matter superconformal field theories, notably the ABJM theory. The first part is focused on kinematical defects supporting a topological sector of the theory. After reviewing the construction of this sector, we concentrate on the evaluation of topological correlators from the partition function of the mass-deformed ABJM theory and provide evidence on the existence of a topological quantum mechanics living on the line. In the second part, we consider dynamical defects realized as latitude BPS Wilson loops for which an exact evaluation is available in terms of a latitude Matrix Model. We discuss the fundamental relation between these operators, the defect superconformal field theory and bulk physical quantities like the Bremsstrahlung function. This relation assigns a privileged role to BPS Wilson operators, which become the meeting point for three exact approaches, localization, integrability and conformal bootstrap.

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Wilson loops and defect RG flows in ABJM

Castiglioni

Penati

Tenser

et al. 2023

J. High Energ. Phys.

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We continue our study of renormalization group (RG) flows on Wilson loop defects in ABJM theory, which we have initiated in arXiv:2211.16501. We generalize that analysis by including non-supersymmetric fixed points and RG trajectories. To this end, we first determine the “ordinary”, non-supersymmetric Wilson loops, which turn out to be two and to include an R-symmetry preserving coupling to the scalar fields of the theory, contrary to their four-dimensional counterpart defined solely in terms of the gauge field holonomy. We then deform these operators by turning on bosonic and/or fermionic couplings, which trigger an elaborate, multi-dimensional network of possible RG trajectories connecting a large spectrum of fixed points classified in terms of the amount (possibly zero) of supersymmetry and R-symmetry preserved. The β-functions are computed to leading order in the ABJM coupling but exactly in the deformation parameters, using an auxiliary one-dimensional theory on the defect and a dimensional regularization scheme. A striking result is the different behavior of the two ordinary Wilson loops, of which one turns out to be a UV unstable point while the other is IR stable. The same is true for the two 1/2 BPS Wilson loops. We interpret our results from a defect CFT (dCFT) point of view, computing the anomalous dimensions of the operators associated to the deformations and establishing appropriate g-theorems. In particular, the fermionic unstable fixed point is associated to a dCFT which is not reflection positive.

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Wilson loops in 3d QFT from D-branes in AdS4×CP3

Cited by 5 publications

References 39 publications

Strong coupling expansion of circular Wilson loops and string theories in AdS5 × S5 and AdS4 × CP3

Strong coupling expansion of circular Wilson loops and string theories in AdS5 × S5 and AdS4 × CP3

Superconformal line defects in 3D

Wilson loops and defect RG flows in ABJM

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