On the search for multicenter AdS black holes from M-theory

Monten, Ruben; Toldo, Chiara

doi:10.1007/jhep02(2022)009

Cited by 8 publications

(8 citation statements)

References 84 publications

(197 reference statements)

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“…An alternative and more practical goal, in the lack of such a general proof, would be to add further gluing examples, e.g. including the holographic Lens spaces [89], the black spindles [90,91] with gluing structure suggested in [92,93], as well as more general punctures [94] and possible multicentered solutions [95]. It would also be interesting to…”

Section: Open Problemsmentioning

confidence: 99%

4d $$ \mathcal{N} $$ = 2 supergravity observables from Nekrasov-like partition functions

Hristov

2022

J. High Energ. Phys.

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We reinterpret the OSV formula for the on-shell action/entropy function of asymptotically flat BPS black holes as a fixed point formula that is formally equivalent to a recent gluing proposal for asymptotically AdS4 black holes. This prompts a conjecture that the complete perturbative answer for the most general gravitational building block of 4d $$ \mathcal{N} $$ N = 2 supergravity at a single fixed point takes the form of a Nekrasov-like partition function with equivariant parameters related to the higher-derivative expansion of the prepotential. In turn this leads to a simple localization-like proposal for a set of supersymmetric partition functions in (UV completed) 4d $$ \mathcal{N} $$ N = 2 supergravity theories. The conjecture is shown to be in agreement with a number of available results for different BPS backgrounds with both Minkowski and AdS asymptotics. In particular, it follows that the OSV formula comes from the unrefined limit of the general expression including only the so-called 𝕎 tower of higher derivatives, while the on-shell action of pure (Euclidean) AdS4 with round S3 boundary comes from the NS limit that includes only the 𝕋 tower. Backgrounds preserving less supersymmetry, such as the under-rotating black holes in flat space, the holographic squashed S3, and the static/rotating twisted and non-twisted Kerr-Newman-like black holes in AdS4 lead to a more general refined version of the corresponding gravitational blocks as dictated by the supersymmetric gluing rules.

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Section: Open Problemsmentioning

confidence: 99%

4d $$ \mathcal{N} $$ = 2 supergravity observables from Nekrasov-like partition functions

Hristov

2022

J. High Energ. Phys.

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“…Of course, neither of these possibilities of analytic continuation or an imaginary coupling constant is entirely satisfactory, and it remains an open question whether true multicentered BPS black hole configurations exist in AdS. This has been previously investigated in [9][10][11] in various approximations or with different asymptotics. While we do not have a complete answer to this question, we provide partial evidence for the existence of such JHEP10(2022)059 solutions.…”

Section: Jhep10(2022)059mentioning

confidence: 99%

Towards the construction of multi-centered black holes in AdS

Cai

Liu

2022

J. High Energ. Phys.

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We find a class of approximate perturbative solutions describing multi-centered BPS black holes in asymptotically AdS4. These black holes are moving coplanarly in a circular orbit with common radius but fixed phase differences, where the radius is characterized by a common boost velocity v. While the solutions are not complete, as they are only accurate up to $$ \mathcal{O} $$ O (M2v2), we are able to locally investigate their supersymmetric properties in four-dimensional $$ \mathcal{N} $$ N = 2 supergravity. The result indicates that, while a single BPS black hole preserves half of the supersymmetries, a configuration with two or more black holes is only 1/4 BPS. These perturbative solutions reduce in the asymptotically Minkowski limit to the multi-black hole solution of Majumdar and Papapetrou.

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Section: Introductionmentioning

confidence: 99%

Towards the construction of multi-centered black holes in AdS

Cai,

Liu

2022

Preprint

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We find a class of approximate perturbative solutions describing multi-centered BPS black holes in asymptotically AdS 4 . These black holes are moving coplanarly in a circular orbit with common radius but fixed phase differences, where the radius is characterized by a common boost velocity v. While the solutions are not complete, as they are only accurate up to O(M 2 v 2 ), we are able to locally investigate their supersymmetric properties in four-dimensional N = 2 supergravity. The result indicates that, while a single BPS black hole preserves half of the supersymmetries, a configuration with two or more black holes is only 1/4 BPS. These perturbative solutions reduce in the asymptotically Minkowski limit to the multi-black hole solution of Majumdar and Papapetrou.

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On the search for multicenter AdS black holes from M-theory

Cited by 8 publications

References 84 publications

4d $$ \mathcal{N} $$ = 2 supergravity observables from Nekrasov-like partition functions

4d $$ \mathcal{N} $$ = 2 supergravity observables from Nekrasov-like partition functions

Towards the construction of multi-centered black holes in AdS

Towards the construction of multi-centered black holes in AdS

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