Pulsating string solution and stability in two parameter χ-deformed background
Abstract In this paper, we investigate pulsating string solutions within the context of two parameter χ-deformed R $$ \mathcal{R} $$ × S 2 background. We derive the energy and oscillation number relation for the deformed R $$ \mathcal{R} $$ × S 2 in short string limit. Additionally, we derive the fi...
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2024-12-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP12(2024)132 |
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author | Rashmi R Nayak Nibedita Padhi Manoranjan Samal |
author_facet | Rashmi R Nayak Nibedita Padhi Manoranjan Samal |
author_sort | Rashmi R Nayak |
collection | DOAJ |
description | Abstract In this paper, we investigate pulsating string solutions within the context of two parameter χ-deformed R $$ \mathcal{R} $$ × S 2 background. We derive the energy and oscillation number relation for the deformed R $$ \mathcal{R} $$ × S 2 in short string limit. Additionally, we derive the first order perturbation equation for pulsating string in this specific background. As a special case of the two parameter deformed background, we examine the stability of the pulsating string solution in one parameter deformed R $$ \mathcal{R} $$ × S 2 and AdS 3 background by setting one of the deformation parameters to zero. |
format | Article |
id | doaj-art-e92ee3be565241e491947bb9c034d7b3 |
institution | Kabale University |
issn | 1029-8479 |
language | English |
publishDate | 2024-12-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj-art-e92ee3be565241e491947bb9c034d7b32025-01-05T12:06:21ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241211710.1007/JHEP12(2024)132Pulsating string solution and stability in two parameter χ-deformed backgroundRashmi R Nayak0Nibedita Padhi1Manoranjan Samal2Centre for Ocean, River, Atmosphere and Land Sciences, Indian Institute of Technology KharagpurDepartment of Physics, Indian Institute of Technology KharagpurRayagada Autonomous CollegeAbstract In this paper, we investigate pulsating string solutions within the context of two parameter χ-deformed R $$ \mathcal{R} $$ × S 2 background. We derive the energy and oscillation number relation for the deformed R $$ \mathcal{R} $$ × S 2 in short string limit. Additionally, we derive the first order perturbation equation for pulsating string in this specific background. As a special case of the two parameter deformed background, we examine the stability of the pulsating string solution in one parameter deformed R $$ \mathcal{R} $$ × S 2 and AdS 3 background by setting one of the deformation parameters to zero.https://doi.org/10.1007/JHEP12(2024)132AdS-CFT CorrespondenceBosonic StringsGauge-Gravity Correspondence |
spellingShingle | Rashmi R Nayak Nibedita Padhi Manoranjan Samal Pulsating string solution and stability in two parameter χ-deformed background Journal of High Energy Physics AdS-CFT Correspondence Bosonic Strings Gauge-Gravity Correspondence |
title | Pulsating string solution and stability in two parameter χ-deformed background |
title_full | Pulsating string solution and stability in two parameter χ-deformed background |
title_fullStr | Pulsating string solution and stability in two parameter χ-deformed background |
title_full_unstemmed | Pulsating string solution and stability in two parameter χ-deformed background |
title_short | Pulsating string solution and stability in two parameter χ-deformed background |
title_sort | pulsating string solution and stability in two parameter χ deformed background |
topic | AdS-CFT Correspondence Bosonic Strings Gauge-Gravity Correspondence |
url | https://doi.org/10.1007/JHEP12(2024)132 |
work_keys_str_mv | AT rashmirnayak pulsatingstringsolutionandstabilityintwoparameterchdeformedbackground AT nibeditapadhi pulsatingstringsolutionandstabilityintwoparameterchdeformedbackground AT manoranjansamal pulsatingstringsolutionandstabilityintwoparameterchdeformedbackground |