Bulk interactions and boundary dual of higher-spin-charged particles

David, Adrian; Neiman, Yasha

doi:10.1007/jhep03(2021)264

Cited by 13 publications

(25 citation statements)

References 48 publications

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“…While it seems not unlikely that the form of some of the obtained exact solutions should be reconsidered in view of the locality issue, some interesting information on their properties JHEP08(2021)144 can still be gained at free level. Particularly, a remarkable boundary interpretation of the linearized version of HS extremal black hole as a bi-local operator on the boundary was established in [61]. The same authors have also observed that a BPS-like pattern of the solution results in certain UV-cancellations of two interacting such black hole states at leading order.…”

Section: Jhep08(2021)144mentioning

confidence: 89%

Planar solutions of higher-spin theory. Part I. Free field level

Didenko

Korybut

2021

J. High Energ. Phys.

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Many black hole solutions of General Relativity are known to be linearly exact. This opens a way to study them in gauge theories that apart from gravity contain fields of higher spin s > 2. Starting with a black brane in AdS4 we find its free field higher- spin generalization that respects static and planar symmetry for all bosonic gauge fields s ≥ 0. The solution is found for both the higher-spin curvatures and potentials in the form suitable for further non-linear analysis and satisfies the multi copy relation.

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Section: Jhep08(2021)144mentioning

confidence: 89%

Planar solutions of higher-spin theory. Part I. Free field level

Didenko

Korybut

2021

J. High Energ. Phys.

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show abstract

“…While it seems not unlikely that the form of some of the obtained exact solutions should be reconsidered in view of the locality issue, some interesting information on their properties can still be gained at free level. Particularly, a remarkable boundary interpretation of the linearized version of HS extremal black hole as a bi-local operator on the boundary was established in [60]. The same authors have also observed that a BPS-like pattern of the solution results in certain UV-cancellations of two interacting such black hole states at leading order.…”

Section: Introductionmentioning

confidence: 89%

Planar solutions of higher-spin theory I: free field level

Didenko,

Korybut

2021

Preprint

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Many black hole solutions of General Relativity are known to be linearly exact. This opens a way to study them in gauge theories that apart from gravity contain fields of higher spin s > 2. Starting with a black brane in AdS 4 we find its free field higher-spin generalization that respects static and planar symmetry for all bosonic gauge fields s ≥ 0. The solution is found for both the higher-spin curvatures and potentials in the form suitable for further non-linear analysis and satisfies the multi copy relation.

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“…It is then natural to expect that the bilocal should play a key role in the bulk interactions dual to these boundary correlators. Now, the bulk dual of boundary bilocals was computed in [32], and identified in [33] as the linearized version [34] of the Didenko-Vasiliev solution, with the precise BPS-like pattern of HS charges dictated by the master-field description in [25]. We thus view the Didenko-Vasiliev solution as key to illuminating the structure of HS gravity, including its relationship with locality.…”

Section: Why Study the Didenko-vasiliev Solutionmentioning

confidence: 99%

Higher-spin gravity’s “string”: new gauge and proof of holographic duality for the linearized Didenko-Vasiliev solution

Lysov

Neiman

2022

J. High Energ. Phys.

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We consider type-A higher-spin gravity in AdS4, holographically dual to a free U(N ) vector model on the boundary. We study the linearized version of the Didenko-Vasiliev “BPS black hole”, which we view as this theory’s equivalent of the fundamental string. The Didenko-Vasiliev solution consists of gauge fields of all spins generated by a particle-like source along a bulk geodesic, and is holographically dual to a bilocal boundary operator at the geodesic’s endpoints. Our first main result is a new gauge for this solution, which makes manifest its behavior under the boundary field equation. It can be viewed as an AdS uplift of flat spacetime’s de Donder gauge, but is not de Donder in AdS. To our knowledge, this gauge is novel even in the spin-2 sector, and thus provides a new expression for the linearized gravitational field of a massive point particle in (A)dS4. Our second main result is a proof of the holographic duality between the mutual bulk action of two Didenko-Vasiliev solutions and the CFT correlator of two boundary bilocals. As an intermediate step, we show that in a bilocal→local limit, the Didenko-Vasiliev solution reproduces the standard boundary-bulk propagators of all spins. We work in the “metric-like” language of Fronsdal fields, and use the embedding-space formalism.

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Bulk interactions and boundary dual of higher-spin-charged particles

Cited by 13 publications

References 48 publications

Planar solutions of higher-spin theory. Part I. Free field level

Planar solutions of higher-spin theory. Part I. Free field level

Planar solutions of higher-spin theory I: free field level

Higher-spin gravity’s “string”: new gauge and proof of holographic duality for the linearized Didenko-Vasiliev solution

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