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<p>In the context of the type IIA/IIB superstring theories, we derive the left-right entanglement entropy (LREE) of a BPS D<i>p</i>-brane with transverse motion in the presence of a U(1) gauge potential and the Kalb-Ramond field in the partially compact spacetime <b>T</b><sup><i>n</i></sup> ⊗ <i>ℝ</i><sup>1,9 − <i>n</i></sup>. 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.</p>

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LREE of a dressed Dp-brane with transverse motion in the partially compact spacetime

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  • 发表日期：

    2025年1月15日

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  • Hamidreza Daniali,
  • Davoud Kamani

摘要

In the context of the type IIA/IIB superstring theories, we derive the left-right entanglement entropy (LREE) of a BPS Dp-brane with transverse motion in the presence of a U(1) gauge potential and the Kalb-Ramond field in the partially compact spacetime Tn ⊗ ℝ1,9 − 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.