SciPost Submission Page
Rotating 5D Black Holes: Interactions and deformations near extremality
by Alejandra Castro, Juan F. Pedraza, Chiara Toldo, Evita Verheijden
Submission summary
As Contributors:  Alejandra Castro · Juan Pedraza · Chiara Toldo 
Arxiv Link:  https://arxiv.org/abs/2106.00649v3 (pdf) 
Date accepted:  20211022 
Date submitted:  20211015 11:27 
Submitted by:  Toldo, Chiara 
Submitted to:  SciPost Physics 
Academic field:  Physics 
Specialties: 

Approach:  Theoretical 
Abstract
We study a twodimensional theory of gravity coupled to matter that is relevant to describe holographic properties of black holes with a single rotational parameter in five dimensions (with or without cosmological constant). We focus on the nearhorizon geometry of the nearextremal black hole, where the effective theory reduces to JackiwTeitelboim (JT) gravity coupled to a massive scalar field. We compute the corrections to correlation functions due to cubic interactions present in this theory. A novel feature is that these corrections do not have a definite sign: for AdS$_5$ black holes the sign depends on the mass of the extremal solution. We discuss possible interpretations of these corrections from a gravitational and holographic perspective. We also quantify the imprint of the JT sector on the UV region, i.e. how these degrees of freedom, characteristic for the nearhorizon region, influence the asymptotically far region of the black hole. This gives an interesting insight on how to interpret the IR modes in the context of their UV completion, which depends on the environment that contains the black hole.
Current status:
Editorial decision:
For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)
Author comments upon resubmission
List of changes
We have done the following modifications:
1) We have replaced the descriptor ``with a single rotational parameter'' with ``with equal angular momenta,'' as requested.
2) We have added the example of the Myers Perry solution in section 2.2, where we begin describing the procedure of dimensional reduction, as requested.
3) We thank the referee for mentioning KK BHs. The KK black hole in hepth/9809063 is exactly the 5D MyersPerry solution we are studying, and we have added a remark in section 2.2 to make this explicit. The solutions in hepth/0701150 (which is based on solutions constructed in hepth/0002166) are much more complicated to study and, while interesting per se, are outside our scope. We suggested instead to consider the solutions in 1009.5039 as a possible extension, which is now mentioned on page 27.
4) We added a remark at the end of section 3.5 (after eqn (3.48)) to stress that the background that has $\tilde{D}=0$ requires further attention. We are indeed very puzzled about it, and explored various possibilities in section 5, but it remains an open problem to understand why the value of $q = 2.85$ is special.
5) We added a paragraph in section 5, page 27, to highlight other black holes for which our methods and setup can easily be extended. This includes other rotating black holes that would be as tractable as ours, and solutions in de Sitter. Some of these points are currently under investigation and we hope to report on them, in separate papers, soon. We also remark that adding rotation in 4D or considering a black ring configuration can be very cumbersome due to the intricate way that the rotational parameters enter in the geometry. This makes it more difficult to capture dynamical aspects of nearAdS$_2$, and we remark how one could perhaps overcome them.