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Invariant tensions from holography

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arxiv 2404.14998 v4 pith:4G4ZPRWV submitted 2024-04-23 hep-th gr-qc

Constantin Bachas , Zhongwu Chen This is my paper · ORCID
classification hep-thgr-qc
keywords tensiondefinedgivengravitationalinvariantstiffnesstensionsaction
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abstract

We revisit the problem of defining an invariant notion of tension in gravity. For spacetimes whose asymptotics are those of a Defect CFT we propose two independent definitions : Gravitational tension given by the one-point function of the dilatation current, and inertial tension, or stiffness, given by the norm of the displacement operator. We show that both reduce to the tension of the Nambu-Goto action in the limit of classical thin probe branes. Subtle normalisations of the relevant Witten diagrams are fixed by the Weyl and diffeomorphism Ward identities of the boundary DCFT. The gravitational tension is not defined for domain walls, whereas stiffness is not defined for point particles. When they both exist these two tensions are in general different, but the examples of line and surface BPS defects in $d=4$ show that superconformal invariance can identify them.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Elastic stiffness of three-dimensional black holes and wormholes from Liouville line defects

    hep-th 2026-07 accept novelty 7.0 of 10

    Shape and mass-density deformations of thin-shell AdS3 black holes and wormholes have stiffness kernels equal to two-point functions of defect-local displacement and mass-density operators, computed from linearized Li...

  2. Holographic two-point functions of heavy operators revisited

    hep-th 2026-03 unverdicted novelty 7.0 of 10

    Holographic two-point functions of heavy operators are reproduced by adding boundary terms to the D3-brane action and by the Gibbons-Hawking-York term in LLM backgrounds, but only in coordinate dependence and without ...

  3. An unusual BPS equation

    hep-th 2025-01 accept novelty 7.0 of 10

    All rotation-invariant superconformal defects satisfy CD/aT = -2(n-1)(p+2)Γ(p+1)/(n π^{p-n/2} Γ(p/2+1)Γ((n-p)/2)), proved from supersymmetric Ward identities.

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