Broken R-symmetry and defect conformal manifolds

Drukker, Nadav; Kong, Ziwen; Sakkas, G.

doi:10.48550/arxiv.2203.17157

Cited by 4 publications

(13 citation statements)

References 61 publications

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“…In the former, it requires the 4-point function of displacements and in the latter the 2-point function of the singlet displacement. The 4-point function of the displacement operator in the Wilson loop is well studied [71][72][73][74] and nontrivial relations among them were found in [75,76]. The same was done for the surface operators in [5,76], but it certainly deserves further study.…”

Section: Jhep08(2022)193mentioning

confidence: 93%

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Ironing out the crease

Drukker

Trépanier

2022

J. High Energ. Phys.

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The crease is a surface operator folded by a finite angle along an infinite line. Several realisations of it in the 6d $$ \mathcal{N} $$ N = (2, 0) theory are studied here. It plays a role similar to the generalised quark-antiquark potential, or the cusp anomalous dimension, in gauge theories. We identify a finite quantity that can be studied despite the conformal anomalies ubiquitous with surface operators and evaluate it in free field theory and in the holographic dual. We also find a subtle difference between the infinite crease and its conformal transform to a compact observable comprised of two glued hemispheres, reminiscent of the circular Wilson loop. We prove by a novel application of defect CFT techniques for the SO(1, 2) symmetry along the fold that the near-BPS behaviour of the crease is determined as the derivative of the compact observable with respect to its angle, as in the bremsstrahlung function. We also comment about the lightlike limit of the crease in Minkowski space.

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Section: Jhep08(2022)193mentioning

confidence: 93%

“…The 4-point function of the displacement operator in the Wilson loop is well studied [71][72][73][74] and nontrivial relations among them were found in [75,76]. The same was done for the surface operators in [5,76], but it certainly deserves further study.…”

Section: Jhep08(2022)193mentioning

confidence: 93%

Ironing out the crease

Drukker

Trépanier

2022

J. High Energ. Phys.

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show abstract

“…In the former, it requires the 4-point function of displacements and in the latter the 2-point function of the singlet displacement. The 4-point function of the displacement operator in the Wilson loop is well studied [70][71][72][73] and nontrivial relations among them were found in [74,75]. The same was done for the surface operators in [5,75], but it certainly deserves further study.…”

Section: Discussionmentioning

confidence: 83%

“…The 4-point function of the displacement operator in the Wilson loop is well studied [70][71][72][73] and nontrivial relations among them were found in [74,75]. The same was done for the surface operators in [5,75], but it certainly deserves further study.…”

Section: Discussionmentioning

confidence: 83%

Ironing out the crease

Drukker,

Trépanier

2022

Preprint

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The crease is a surface operator folded by a finite angle along an infinite line. Several realisations of it in the 6d N = (2, 0) theory are studied here. It plays a role similar to the generalised quark-antiquark potential, or the cusp anomalous dimension, in gauge theories. We identify a finite quantity that can be studied despite the conformal anomalies ubiquitous with surface operators and evaluate it in free field theory and in the holographic dual. We also find a subtle difference between the infinite crease and its conformal transform to a compact observable comprised of two glued hemispheres, reminiscent of the circular Wilson loop. We prove by a novel application of defect CFT techniques for the SO(2, 1) symmetry along the fold that the near-BPS behaviour of the crease is determined as the derivative of the compact observable with respect to its angle, as in the bremsstrahlung function. We also comment about the lightlike limit of the crease in Minkowski space.

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“…In [2], we found and already used two such constraints for the correlators of 4 point correlators on top of a MWL. Recently, in [25], a specific linear combination of these constraints was derived using general geometric arguments about the structure of the conformal manifold. In this paper, we present a very different argument, which allowed us to derive the remaining independent constraint.…”

mentioning

confidence: 99%

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

Cavaglià¹,

Gromov²,

Julius³

et al. 2022

Preprint

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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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Broken R-symmetry and defect conformal manifolds

Cited by 4 publications

References 61 publications

Ironing out the crease

Ironing out the crease

Ironing out the crease

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

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