M2-doughnuts

Drukker, Nadav; Trépanier, Maxime

doi:10.1007/jhep02(2022)071

Cited by 7 publications

(15 citation statements)

References 37 publications

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“…Interestingly, we find the same functional dependence on φ in both calculations. Like in the recently studied cases of the torus and cylinder [8] or those in [17], this is a finite nonzero quantity associated to a BPS observable, similar in that regard to the circular Wilson loop in N = 4 SYM in 4d [23][24][25].…”

Section: Jhep08(2022)193mentioning

confidence: 58%

“…To point out just one example, there is a family of 1/4 BPS cones interpolating between the plane and the cylinder. The BPS cylinder which was studied in [8] has a finite nonzero expectation value. The classical M2-brane solutions for the cones of finite angles, whether BPS or not have not been found yet.…”

Section: Jhep08(2022)193mentioning

confidence: 99%

“…[1][2][3]. Here instead we follow the latter approach, extending our programme [4][5][6][7][8] focused on the most natural observables on the theory -the 2d surface operators.…”

Section: Introductionmentioning

confidence: 99%

“…Under a conformal transformation to S 5 × R the cone becomes a cylinder which is a circle in S 5 extending along the R direction. BPS versions of such operators were studied in [17] and the limit of a BPS cylinder in R 6 in [8].…”

Section: Introductionmentioning

confidence: 99%

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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: 58%

Section: Jhep08(2022)193mentioning

confidence: 99%

“…[1][2][3]. Here instead we follow the latter approach, extending our programme [4][5][6][7][8] focused on the most natural observables on the theory -the 2d surface operators.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Ironing out the crease

Drukker

Trépanier

2022

J. High Energ. Phys.

Self Cite

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show abstract

“…[1][2][3]. Here instead we follow the latter approach, extending our programme [4][5][6][7][8] focused on the most natural observables on the theory-the 2d surface operators.…”

Section: Introductionmentioning

confidence: 99%

Ironing out the crease

Drukker,

Trépanier

2022

Preprint

Self Cite

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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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Rényi entropy with surface defects in six dimensions

Yuan,

Zhou

2024

J. High Energ. Phys.

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We compute the surface defect contribution to Rényi entropy and supersymmetric Rényi entropy in six dimensions. We first compute the surface defect contribution to Rényi entropy for free fields, which verifies a previous formula about entanglement entropy with surface defect. Using conformal map to $$ {S}_{\beta}^1\times {H}^{d-1} $$ S β 1 × H d − 1 we develop a heat kernel approach to compute the defect contribution to Rényi entropy, which is applicable for p-dimensional defect in general d-dimensional free fields. Using the same geometry $$ {S}_{\beta}^1\times {H}^5 $$ S β 1 × H 5 with an additional background field, one can construct the supersymmetric refinement of the ordinary Rényi entropy for six-dimensional (2, 0) theories. We find that the surface defect contribution to supersymmetric Rényi entropy has a simple scaling as polynomial of Rényi index in the large N limit. We also discuss how to connect the free field results and large N results.

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M2-doughnuts

Cited by 7 publications

References 37 publications

Ironing out the crease

Ironing out the crease

Ironing out the crease

Rényi entropy with surface defects in six dimensions

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