On the explicit asymptotic symmetry breaking of $$sl(3,\mathbb {R})$$ s l ( 3 , R ) Jackiw–Teitelboim gravity

Abstract This study investigates the asymptotic symmetry algebras (ASA) of Jackiw–Teitelboim (JT) gravity within the framework of $$\mathfrak {sl}(3,\mathbb {R})$$ sl ( 3 , R ) symmetry. By explicitly constructing this algebra, we explore how the presence of the dilaton field influences the structur...

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Main Authors: H. T. Özer, Aytül Filiz
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-14301-y
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author H. T. Özer
Aytül Filiz
author_facet H. T. Özer
Aytül Filiz
author_sort H. T. Özer
collection DOAJ
description Abstract This study investigates the asymptotic symmetry algebras (ASA) of Jackiw–Teitelboim (JT) gravity within the framework of $$\mathfrak {sl}(3,\mathbb {R})$$ sl ( 3 , R ) symmetry. By explicitly constructing this algebra, we explore how the presence of the dilaton field influences the structure of asymptotic symmetries and symmetry breaking mechanisms at the AdS $$_2$$ 2 boundary. For the $$\mathfrak {sl}(3,\mathbb {R})$$ sl ( 3 , R ) model, the dilaton field preserves a subset of the complete $$W_3$$ W 3 -symmetry, restricting the algebra to $$\mathfrak {sl}(3,\mathbb {R})$$ sl ( 3 , R ) . These results provide deeper insights into the role of dilaton dynamics in holographic dualities, with implications for the thermodynamics and geometry of AdS $$_2$$ 2 . The findings pave the way for systematically exploring extended gauge symmetries in two-dimensional gravity and their relevance to higher-rank Lie algebras.
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issn 1434-6052
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series European Physical Journal C: Particles and Fields
spelling doaj-art-aeeeb205520d442f96e1b1e2ef5771112025-08-20T02:29:51ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-05-0185511410.1140/epjc/s10052-025-14301-yOn the explicit asymptotic symmetry breaking of $$sl(3,\mathbb {R})$$ s l ( 3 , R ) Jackiw–Teitelboim gravityH. T. Özer0Aytül Filiz1Physics Department, Faculty of Science and Letters, Istanbul Technical UniversityPhysics Department, Faculty of Science and Letters, Istanbul Technical UniversityAbstract This study investigates the asymptotic symmetry algebras (ASA) of Jackiw–Teitelboim (JT) gravity within the framework of $$\mathfrak {sl}(3,\mathbb {R})$$ sl ( 3 , R ) symmetry. By explicitly constructing this algebra, we explore how the presence of the dilaton field influences the structure of asymptotic symmetries and symmetry breaking mechanisms at the AdS $$_2$$ 2 boundary. For the $$\mathfrak {sl}(3,\mathbb {R})$$ sl ( 3 , R ) model, the dilaton field preserves a subset of the complete $$W_3$$ W 3 -symmetry, restricting the algebra to $$\mathfrak {sl}(3,\mathbb {R})$$ sl ( 3 , R ) . These results provide deeper insights into the role of dilaton dynamics in holographic dualities, with implications for the thermodynamics and geometry of AdS $$_2$$ 2 . The findings pave the way for systematically exploring extended gauge symmetries in two-dimensional gravity and their relevance to higher-rank Lie algebras.https://doi.org/10.1140/epjc/s10052-025-14301-y
spellingShingle H. T. Özer
Aytül Filiz
On the explicit asymptotic symmetry breaking of $$sl(3,\mathbb {R})$$ s l ( 3 , R ) Jackiw–Teitelboim gravity
European Physical Journal C: Particles and Fields
title On the explicit asymptotic symmetry breaking of $$sl(3,\mathbb {R})$$ s l ( 3 , R ) Jackiw–Teitelboim gravity
title_full On the explicit asymptotic symmetry breaking of $$sl(3,\mathbb {R})$$ s l ( 3 , R ) Jackiw–Teitelboim gravity
title_fullStr On the explicit asymptotic symmetry breaking of $$sl(3,\mathbb {R})$$ s l ( 3 , R ) Jackiw–Teitelboim gravity
title_full_unstemmed On the explicit asymptotic symmetry breaking of $$sl(3,\mathbb {R})$$ s l ( 3 , R ) Jackiw–Teitelboim gravity
title_short On the explicit asymptotic symmetry breaking of $$sl(3,\mathbb {R})$$ s l ( 3 , R ) Jackiw–Teitelboim gravity
title_sort on the explicit asymptotic symmetry breaking of sl 3 mathbb r s l 3 r jackiw teitelboim gravity
url https://doi.org/10.1140/epjc/s10052-025-14301-y
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