The special role of toroidal black holes in holography

In the standard holographic “dictionary”, the deep infrared of the strongly coupled boundary field theory is studied by examining the bulk region near to the event horizon of a simple AdS-Reissner-Nordström black hole, near to extremality. Recently Horowitz et al. have argued that this is not correc...

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Main Author: Brett McInnes
Format: Article
Language:English
Published: Elsevier 2023-04-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S055032132300055X
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author Brett McInnes
author_facet Brett McInnes
author_sort Brett McInnes
collection DOAJ
description In the standard holographic “dictionary”, the deep infrared of the strongly coupled boundary field theory is studied by examining the bulk region near to the event horizon of a simple AdS-Reissner-Nordström black hole, near to extremality. Recently Horowitz et al. have argued that this is not correct, except in the case of small toroidal black holes, which are therefore revealed to be particularly interesting and important. On the other hand, the Weak Gravity Conjecture postulates that black holes (including toroidal black holes) which are extremely near to extremality spontaneously emit black holes of the same kind. We show that, in the toroidal case, these “emitted” black holes are always small in the sense of Horowitz et al. As an application, we discuss the Grinberg-Maldacena analysis of the way one-point functions, evaluated outside an AdS-Reissner-Nordström black hole, depend on the proper time of fall from the event horizon to the Cauchy horizon. We find that, for emitted toroidal black holes, this dependence effectively drops out.
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spelling doaj.art-fc8db695c202456ba266e2e56ba584f02023-03-29T09:21:05ZengElsevierNuclear Physics B0550-32132023-04-01989116126The special role of toroidal black holes in holographyBrett McInnes0National University of Singapore, SingaporeIn the standard holographic “dictionary”, the deep infrared of the strongly coupled boundary field theory is studied by examining the bulk region near to the event horizon of a simple AdS-Reissner-Nordström black hole, near to extremality. Recently Horowitz et al. have argued that this is not correct, except in the case of small toroidal black holes, which are therefore revealed to be particularly interesting and important. On the other hand, the Weak Gravity Conjecture postulates that black holes (including toroidal black holes) which are extremely near to extremality spontaneously emit black holes of the same kind. We show that, in the toroidal case, these “emitted” black holes are always small in the sense of Horowitz et al. As an application, we discuss the Grinberg-Maldacena analysis of the way one-point functions, evaluated outside an AdS-Reissner-Nordström black hole, depend on the proper time of fall from the event horizon to the Cauchy horizon. We find that, for emitted toroidal black holes, this dependence effectively drops out.http://www.sciencedirect.com/science/article/pii/S055032132300055X
spellingShingle Brett McInnes
The special role of toroidal black holes in holography
Nuclear Physics B
title The special role of toroidal black holes in holography
title_full The special role of toroidal black holes in holography
title_fullStr The special role of toroidal black holes in holography
title_full_unstemmed The special role of toroidal black holes in holography
title_short The special role of toroidal black holes in holography
title_sort special role of toroidal black holes in holography
url http://www.sciencedirect.com/science/article/pii/S055032132300055X
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