Extended near horizon symmetries of extremal BTZ black holes in 3D massive gravity

Abstract We study the asymptotic symmetries of near-horizon extremal BTZ black holes in higher derivative theories of gravity, such as New Massive Gravity and Topological Massive Gravity. By employing a particular boundary condition and the regularization prescription proposed earlier for the Einste...

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Main Authors: Debojyoti Ballav, Shailesh Kulkarni
Format: Article
Language:English
Published: SpringerOpen 2025-03-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP03(2025)054
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author Debojyoti Ballav
Shailesh Kulkarni
author_facet Debojyoti Ballav
Shailesh Kulkarni
author_sort Debojyoti Ballav
collection DOAJ
description Abstract We study the asymptotic symmetries of near-horizon extremal BTZ black holes in higher derivative theories of gravity, such as New Massive Gravity and Topological Massive Gravity. By employing a particular boundary condition and the regularization prescription proposed earlier for the Einstein gravity, we demonstrate the existence of two centrally extended Virasoro algebras. The central charges evaluated within this framework are in agreement with their corresponding expressions evaluated at the spatial infinity. We also discuss the robustness of the regularization procedure by relating asymptotic and near- horizon geometries.
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issn 1029-8479
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spelling doaj-art-e81d67ecab954a9a99b4e49270b9ca5c2025-08-20T02:16:06ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025312110.1007/JHEP03(2025)054Extended near horizon symmetries of extremal BTZ black holes in 3D massive gravityDebojyoti Ballav0Shailesh Kulkarni1Department of Physics, Savitribai Phule Pune UniversityDepartment of Physics, Savitribai Phule Pune UniversityAbstract We study the asymptotic symmetries of near-horizon extremal BTZ black holes in higher derivative theories of gravity, such as New Massive Gravity and Topological Massive Gravity. By employing a particular boundary condition and the regularization prescription proposed earlier for the Einstein gravity, we demonstrate the existence of two centrally extended Virasoro algebras. The central charges evaluated within this framework are in agreement with their corresponding expressions evaluated at the spatial infinity. We also discuss the robustness of the regularization procedure by relating asymptotic and near- horizon geometries.https://doi.org/10.1007/JHEP03(2025)054Black HolesAdS-CFT CorrespondenceClassical Theories of Gravity
spellingShingle Debojyoti Ballav
Shailesh Kulkarni
Extended near horizon symmetries of extremal BTZ black holes in 3D massive gravity
Journal of High Energy Physics
Black Holes
AdS-CFT Correspondence
Classical Theories of Gravity
title Extended near horizon symmetries of extremal BTZ black holes in 3D massive gravity
title_full Extended near horizon symmetries of extremal BTZ black holes in 3D massive gravity
title_fullStr Extended near horizon symmetries of extremal BTZ black holes in 3D massive gravity
title_full_unstemmed Extended near horizon symmetries of extremal BTZ black holes in 3D massive gravity
title_short Extended near horizon symmetries of extremal BTZ black holes in 3D massive gravity
title_sort extended near horizon symmetries of extremal btz black holes in 3d massive gravity
topic Black Holes
AdS-CFT Correspondence
Classical Theories of Gravity
url https://doi.org/10.1007/JHEP03(2025)054
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AT shaileshkulkarni extendednearhorizonsymmetriesofextremalbtzblackholesin3dmassivegravity