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Holography for people with no time

by Henry W. Lin, Juan Maldacena, Liza Rozenberg, Jieru Shan

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Submission summary

Authors (as registered SciPost users): Henry Lin
Submission information
Preprint Link: scipost_202302_00019v1  (pdf)
Date accepted: 2023-03-29
Date submitted: 2023-02-10 01:47
Submitted by: Lin, Henry
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
Approach: Theoretical

Abstract

We study the gravitational description of extremal supersymmetric black holes. We point out that the $AdS_2$ near horizon geometry can be used to compute interesting observables, such as correlation functions of operators. In this limit, the Hamiltonian is zero and correlation functions are time independent. We discuss some possible implications for the gravity description of black hole microstates. We also compare with numerical results in a supersymmetric version of SYK. These results can also be interpreted as providing a construction of wormholes joining two extremal black holes. This is the short version of a longer and more technical companion paper arXiv:2207.00408.

Author comments upon resubmission

The associated longer paper has been updated for clarity; numerous typos have been corrected.

Published as SciPost Phys. 14, 150 (2023)

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Comments

Henry Lin  on 2023-02-19  [id 3375]

Category:
answer to question
correction

Dear Editor,

We apologize for erroneously not including the response to the referees in the resubmission. We include them here, along with an updated draft.

In response to Report 1: We thank the referee for finding numerous points of potential confusion and have attempted to clarify them in the revised version: 1) We have amended the introduction to include some clarifications on the TFD state and included a new footnote to clarify the meaning of "boundary." 2) We have adjusted equation (7) so that it is clear that both sides are wavefunctions. 3) We have clarified the discussion on Lorentzian correlations. We do not have an interpretation of operator smeared on the gap timescale beyond what is written. 4) We have clarified the discussion of primaries/descendants and added a new footnote. 5) Please see (1).

In response to Report 2: We have added a citation to the West Coast model and slightly expanded section 2.7 to hopefully make it more readable. We have also slightly expanded the discussion around (17-19), although we intend that the reader interested in the details of the computation to see the longer companion paper.

In addition, we have found several minor typos and have corrected them in this version. We thank both referees for their time and commitment, which helped us improve the paper.

Attachment:

DraftShortNoTime.pdf