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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.17456 |
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| _version_ | 1866909600659275776 |
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| author | Xue, Shaohua Yang, Yingyu Li, Li-Xin |
| author_facet | Xue, Shaohua Yang, Yingyu Li, Li-Xin |
| contents | In this paper, we investigate the microscopic derivation of the entropy and the holographic RG flow in 3D C-metric. We first discuss the case of a sector in BTZ (Banados-Teitelboim-Zanelli) black hole. By rescaling the Newton's constant we recover the area law of entropy of this sector by microstate counting. Then we apply this technique to all accelerating BTZ phases in 3D C-metric. Finally, for the boundary entropy in 3D C-metric, we study the monotonicity of the $g$-function of 3D C-metric in small acceleration limit and find that the $g$-theorem is satisfied only in $\rm I_{2}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17456 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thermodynamics and Holographic RG Flow in 3D C-metric Xue, Shaohua Yang, Yingyu Li, Li-Xin High Energy Physics - Theory In this paper, we investigate the microscopic derivation of the entropy and the holographic RG flow in 3D C-metric. We first discuss the case of a sector in BTZ (Banados-Teitelboim-Zanelli) black hole. By rescaling the Newton's constant we recover the area law of entropy of this sector by microstate counting. Then we apply this technique to all accelerating BTZ phases in 3D C-metric. Finally, for the boundary entropy in 3D C-metric, we study the monotonicity of the $g$-function of 3D C-metric in small acceleration limit and find that the $g$-theorem is satisfied only in $\rm I_{2}$. |
| title | Thermodynamics and Holographic RG Flow in 3D C-metric |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.17456 |