Size and shape of rotating strings and the correspondence to black holes

Abstract In light of the correspondence between black holes and fundamental strings with non-zero spin, we compute the sizes of rotating strings for small, moderate, and large values of the angular momentum and compare them to the sizes of rotating black holes. We argue that the ratio of the size pe...

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Main Authors: Nejc Čeplak, Roberto Emparan, Andrea Puhm, Marija Tomašević
Format: Article
Language:English
Published: SpringerOpen 2025-06-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP06(2025)099
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author Nejc Čeplak
Roberto Emparan
Andrea Puhm
Marija Tomašević
author_facet Nejc Čeplak
Roberto Emparan
Andrea Puhm
Marija Tomašević
author_sort Nejc Čeplak
collection DOAJ
description Abstract In light of the correspondence between black holes and fundamental strings with non-zero spin, we compute the sizes of rotating strings for small, moderate, and large values of the angular momentum and compare them to the sizes of rotating black holes. We argue that the ratio of the size perpendicular to the rotation plane to the size along the rotation plane is an approximate adiabatic invariant and can therefore be meaningfully compared for objects on different sides of the correspondence point. We show that the spin-dependence of this ratio for small angular momenta agrees for black holes and strings. When the spin is large, the ratios for these objects exhibit different behavior, but this is expected since for large angular momenta there is no direct correspondence between black holes and single-string states. We also develop a random-walk model that describes highly excited strings and accurately reproduces the sizes of rotating strings for all values of angular momentum.
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institution DOAJ
issn 1029-8479
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publishDate 2025-06-01
publisher SpringerOpen
record_format Article
series Journal of High Energy Physics
spelling doaj-art-64a3e19dd5f64ee7a28b91a05a87a2b02025-08-20T03:04:16ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025615210.1007/JHEP06(2025)099Size and shape of rotating strings and the correspondence to black holesNejc Čeplak0Roberto Emparan1Andrea Puhm2Marija Tomašević3School of Mathematics and Hamilton Mathematics Institute, Trinity CollegeInstitució Catalana de Recerca i Estudis Avançats (ICREA)Institute for Theoretical Physics, University of AmsterdamInstitute for Theoretical Physics, University of AmsterdamAbstract In light of the correspondence between black holes and fundamental strings with non-zero spin, we compute the sizes of rotating strings for small, moderate, and large values of the angular momentum and compare them to the sizes of rotating black holes. We argue that the ratio of the size perpendicular to the rotation plane to the size along the rotation plane is an approximate adiabatic invariant and can therefore be meaningfully compared for objects on different sides of the correspondence point. We show that the spin-dependence of this ratio for small angular momenta agrees for black holes and strings. When the spin is large, the ratios for these objects exhibit different behavior, but this is expected since for large angular momenta there is no direct correspondence between black holes and single-string states. We also develop a random-walk model that describes highly excited strings and accurately reproduces the sizes of rotating strings for all values of angular momentum.https://doi.org/10.1007/JHEP06(2025)099Black Holes in String TheoryBlack Holes
spellingShingle Nejc Čeplak
Roberto Emparan
Andrea Puhm
Marija Tomašević
Size and shape of rotating strings and the correspondence to black holes
Journal of High Energy Physics
Black Holes in String Theory
Black Holes
title Size and shape of rotating strings and the correspondence to black holes
title_full Size and shape of rotating strings and the correspondence to black holes
title_fullStr Size and shape of rotating strings and the correspondence to black holes
title_full_unstemmed Size and shape of rotating strings and the correspondence to black holes
title_short Size and shape of rotating strings and the correspondence to black holes
title_sort size and shape of rotating strings and the correspondence to black holes
topic Black Holes in String Theory
Black Holes
url https://doi.org/10.1007/JHEP06(2025)099
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