LREE of a Dressed D$p$-brane with Transverse Motion in the Partially Compact Spacetime
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917893350883328 |
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| author | Daniali, Hamidreza Kamani, Davoud |
| author_facet | Daniali, Hamidreza Kamani, Davoud |
| contents | In the context of the type IIA/IIB superstring theories, we derive the left-right entanglement entropy (LREE) of a BPS D$p$-brane with transverse motion in the presence of a $U(1)$ gauge potential and the Kalb-Ramond field in the partially compact spacetime $\mathbf{T}^n \otimes \mathbb R^{1,9-n}$. At first we employ the replica trick to compute the Rényi entropy and then we obtain the entanglement entropy. We examine the results for the special case, i.e. for the D6-brane. Besides, we investigate the thermodynamical entropy, associated with the LREE. This demonstrates that the LREE is precisely equivalent to its thermodynamic counterpart. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09784 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | LREE of a Dressed D$p$-brane with Transverse Motion in the Partially Compact Spacetime Daniali, Hamidreza Kamani, Davoud High Energy Physics - Theory In the context of the type IIA/IIB superstring theories, we derive the left-right entanglement entropy (LREE) of a BPS D$p$-brane with transverse motion in the presence of a $U(1)$ gauge potential and the Kalb-Ramond field in the partially compact spacetime $\mathbf{T}^n \otimes \mathbb R^{1,9-n}$. At first we employ the replica trick to compute the Rényi entropy and then we obtain the entanglement entropy. We examine the results for the special case, i.e. for the D6-brane. Besides, we investigate the thermodynamical entropy, associated with the LREE. This demonstrates that the LREE is precisely equivalent to its thermodynamic counterpart. |
| title | LREE of a Dressed D$p$-brane with Transverse Motion in the Partially Compact Spacetime |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.09784 |