On supersymmetric multipole ratios

Abstract Four-dimensional supersymmetric black holes are static and so have all vanishing multipoles (except the mass monopole). Nevertheless, it is possible to define finite multipole ratios for these black holes, by taking the ratio of (finite) multipoles of supersymmetric multicentered geometries...

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Main Authors: Bogdan Ganchev, Daniel R. Mayerson
Format: Article
Language:English
Published: SpringerOpen 2023-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP02(2023)160
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author Bogdan Ganchev
Daniel R. Mayerson
author_facet Bogdan Ganchev
Daniel R. Mayerson
author_sort Bogdan Ganchev
collection DOAJ
description Abstract Four-dimensional supersymmetric black holes are static and so have all vanishing multipoles (except the mass monopole). Nevertheless, it is possible to define finite multipole ratios for these black holes, by taking the ratio of (finite) multipoles of supersymmetric multicentered geometries and then taking the black hole scaling limit of the multipole ratios within these geometries. An alternative way to calculate these multipole ratios is to deform the supersymmetric black hole slightly into a non-extremal, rotating black hole, calculate the multipole ratios of this altered black hole, and then take the supersymmetric limit of the ratios. Bena and Mayerson observed that for a class of microstate geometries, these two a priori completely different methods give spectacular agreement for the resulting supersymmetric black hole multipole ratios. They conjectured that this agreement is due to the smallness of the entropy parameter for these black holes. We correct this conjecture and give strong evidence supporting a more refined conjecture, which is that the agreement of multipole ratios as calculated with these two different methods is due to both the microstate geometry and its corresponding black hole having a property we call “large dipole”, which can be interpreted as their center of mass being far away from its apparent center.
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spelling doaj.art-bb6b6b1347e0499eaa233d52d4ecd8902023-07-16T11:07:42ZengSpringerOpenJournal of High Energy Physics1029-84792023-02-012023213210.1007/JHEP02(2023)160On supersymmetric multipole ratiosBogdan Ganchev0Daniel R. Mayerson1Université Paris-Saclay, CNRS, CEA, Institut de Physique ThéoriqueInstituut voor Theoretische Fysica, KU LeuvenAbstract Four-dimensional supersymmetric black holes are static and so have all vanishing multipoles (except the mass monopole). Nevertheless, it is possible to define finite multipole ratios for these black holes, by taking the ratio of (finite) multipoles of supersymmetric multicentered geometries and then taking the black hole scaling limit of the multipole ratios within these geometries. An alternative way to calculate these multipole ratios is to deform the supersymmetric black hole slightly into a non-extremal, rotating black hole, calculate the multipole ratios of this altered black hole, and then take the supersymmetric limit of the ratios. Bena and Mayerson observed that for a class of microstate geometries, these two a priori completely different methods give spectacular agreement for the resulting supersymmetric black hole multipole ratios. They conjectured that this agreement is due to the smallness of the entropy parameter for these black holes. We correct this conjecture and give strong evidence supporting a more refined conjecture, which is that the agreement of multipole ratios as calculated with these two different methods is due to both the microstate geometry and its corresponding black hole having a property we call “large dipole”, which can be interpreted as their center of mass being far away from its apparent center.https://doi.org/10.1007/JHEP02(2023)160Black HolesBlack Holes in String TheorySupergravity Models
spellingShingle Bogdan Ganchev
Daniel R. Mayerson
On supersymmetric multipole ratios
Journal of High Energy Physics
Black Holes
Black Holes in String Theory
Supergravity Models
title On supersymmetric multipole ratios
title_full On supersymmetric multipole ratios
title_fullStr On supersymmetric multipole ratios
title_full_unstemmed On supersymmetric multipole ratios
title_short On supersymmetric multipole ratios
title_sort on supersymmetric multipole ratios
topic Black Holes
Black Holes in String Theory
Supergravity Models
url https://doi.org/10.1007/JHEP02(2023)160
work_keys_str_mv AT bogdanganchev onsupersymmetricmultipoleratios
AT danielrmayerson onsupersymmetricmultipoleratios