arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1504.02067hep-th
收藏

磁电子星的纠缠熵

Entanglement Entropy of Magnetic Electron Stars

Tameem Albash, Clifford V. Johnson, Scott MacDonald

摘要:

利用AdS/CFT对应研究了$(2+1)$ -维强耦合理论中纠缠熵的行为.我们考虑的理论在一个有限的电荷密度与磁场,与他们的全息对偶是爱因斯坦-麦克斯韦-膨胀理论在四维反德西特引力。限制到黑洞和电子星的解决方案在零温度下的背景磁场的存在下,我们计算它们的全息纠缠熵使用Ryu-Takayanagi处方的带和盘的几何形状。对于电或磁的零温黑洞,我们能够证实纠缠熵在电磁对偶性下是不变的。在有限磁场电子星的情况下,对于带状几何,我们发现随着带状宽度的增加,纠缠熵的一阶导数出现不连续。

英文摘要:

We study the behavior of the entanglement entropy in $(2+1)$--dimensional strongly coupled theories via the AdS/CFT correspondence. We consider theories at a finite charge density with a magnetic field, with their holographic dual being Einstein-Maxwell-Dilaton theory in four dimensional anti--de Sitter gravity. Restricting to black hole and electron star solutions at zero temperature in the presence of a background magnetic field, we compute their holographic entanglement entropy using the Ryu-Takayanagi prescription for both strip and disk geometries. In the case of the electric or magnetic zero temperature black holes, we are able to confirm that the entanglement entropy is invariant under electric-magnetic duality. In the case of the electron star with a finite magnetic field, for the strip geometry, we find a discontinuity in the first derivative of the entanglement entropy as the strip width is increased.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑