From the Weyl Anomaly to Entropy of Two-Dimensional Boundaries and Defects

Jensen, Kristan; O’Bannon, Andy; Robinson, Brandon; Rodgers, Ronnie

doi:10.1103/physrevlett.122.241602

Cited by 65 publications

(117 citation statements)

References 56 publications

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“…We numerically verified that this boundary condition agrees with the procedure described in [16] as well as the more recent discussion in [38]. The fact that the RT surfaces should end orthogonally on the RS brane has also been made from the point of view of the replica method in [39].…”

Section: Jhep09(2020)121supporting

confidence: 84%

Massive islands

Geng

Karch

2020

J. High Energ. Phys.

236

242

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We comment on the role of the graviton mass in recent calculations of the Page curve using holographic ideas. All reliable calculations of the Page curve in more than 2+1 spacetime dimensions have been performed in systems with massive gravitons. A crucial ingredient in these calculations is the formation of islands, regions that contribute to the entropy of degrees of freedom located elsewhere. While most often simply ignored, it is indeed true that mass of the graviton does not appear to significantly affect the calculations that appeared in the literature. We use the freedom to change the graviton mass to give an extremely simple model of analytically tractable island formation in general dimensions. We do however note that if one attempts to take the limit of zero graviton mass, any contribution from the islands disappears. This raises the question to what extent entanglement islands can play a role in standard massless gravity.

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Section: Jhep09(2020)121supporting

confidence: 84%

Massive islands

Geng

Karch

2020

J. High Energ. Phys.

236

242

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“…This implies, in particular, that d 1 0. Furthermore, assuming the validity of the averaged null energy condition in the presence of a defect one can prove that d 2 0 [70]. Crucially, in section 2.1 we have shown that, for any supersymmetric surface defect…”

Section: Weyl Anomaly Coefficientsmentioning

confidence: 74%

“…where we use p to indicate the defect dimension and q for the codimension. We also used the relation between d 2 and h in arbitrary dimension [70]. For the Wilson surface defect in d = 6 this gives C D = 80πh 3 , a result that was confirmed by a free theory computation for the theory of a single free tensor multiplet [71] and that is not valid for a free non-supersymmetric theory [72].…”

Section: Comparison With Holography and Higher Codimensionmentioning

confidence: 94%

Superconformal surfaces in four dimensions

Bianchi

Lemos

2020

J. High Energ. Phys.

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We study the constraints of superconformal symmetry on codimension two defects in four-dimensional superconformal field theories. We show that the one-point function of the stress tensor and the two-point function of the displacement operator are related, and we discuss the consequences of this relation for the Weyl anomaly coefficients as well as in a few examples, including the supersymmetric Rényi entropy. Imposing consistency with existing results, we propose a general relation that could hold for sufficiently supersymmetric defects of arbitrary dimension and codimension. Turning to N = (2, 2) surface defects in N ≥ 2 superconformal field theories, we study the associated chiral algebra. We work out various properties of the modules introduced by the defect in the original chiral algebra. In particular, we find that the one-point function of the stress tensor controls the dimension of the defect identity in chiral algebra, providing a novel way to compute it, once the defect identity is identified. Studying a few examples, we show explicitly how these properties are realized.

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“…A computation in ref. [26] shows that the corresponding boundary a-anomaly is independent of marginal parameters, at least at leading order in a large 't Hooft coupling expansion. However, as shown in [27], the corresponding one-point functions of the marginal operators vanish in this limit as well, consistent with our result.…”

Section: Discussion and Examplesmentioning

confidence: 90%

How a -Type Anomalies Can Depend on Marginal Couplings

Herzog

Shamir

2020

Phys. Rev. Lett.

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Even dimensional defects and boundaries in conformal field theory support type a anomalies on their world-volume. We show that the one-point functions of marginal operators, in the presence of defects and boundaries, are anomalous, and that the Wess-Zumino consistency condition relates them to the derivative of the a-anomaly with respect to the marginal coupling. We also argue that the constant term F for odd dimensional surfaces can depend on marginal parameters.

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From the Weyl Anomaly to Entropy of Two-Dimensional Boundaries and Defects

Cited by 65 publications

References 56 publications

Massive islands

Massive islands

Superconformal surfaces in four dimensions

How a -Type Anomalies Can Depend on Marginal Couplings

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