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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.17449 |
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| _version_ | 1866913620236959744 |
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| author | Nayak, Rashmi R Padhi, Nibedita Samal, Manoranjan |
| author_facet | Nayak, Rashmi R Padhi, Nibedita Samal, Manoranjan |
| contents | In this paper, we investigate pulsating string solutions within the context of a two-parameter $χ$-deformed $\mathcal{R} \times S^2$ background. We derive the energy and oscillation number relation for the deformed $\mathcal{R} \times S^2$ in a short string limit. Additionally, we derive the first-order perturbation equation for a 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 $\mathcal{R} \times S^2$ and $AdS_3$ background by setting one of the deformation parameters to zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17449 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pulsating string solution and stability in two parameter $χ$-deformed background Nayak, Rashmi R Padhi, Nibedita Samal, Manoranjan High Energy Physics - Theory In this paper, we investigate pulsating string solutions within the context of a two-parameter $χ$-deformed $\mathcal{R} \times S^2$ background. We derive the energy and oscillation number relation for the deformed $\mathcal{R} \times S^2$ in a short string limit. Additionally, we derive the first-order perturbation equation for a 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 $\mathcal{R} \times S^2$ and $AdS_3$ background by setting one of the deformation parameters to zero. |
| title | Pulsating string solution and stability in two parameter $χ$-deformed background |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.17449 |