论文标题
脱离弦线II:黑洞熵
Off-Shell Strings II: Black Hole Entropy
论文作者
论文摘要
1994年,苏斯金德(Susskind)和乌格姆(Uglum)认为,从字符串理论中可以得出Bekenstein-Hawking熵$ A/4G_N $。在本文中,我们解释了这一论点的概念基础,同时阐明了其与诱导的重力和ER = EPR的关系。根据Tseytlin进行的脱壳计算,我们明确地从$α^{\ prime} $的领先顺序的球体图中明确得出了经典的封闭字符串有效动作。然后,我们展示如何使用它从锥形歧管上NLSM的RG流量获得黑洞熵。 (我们还简要讨论了苏斯金德和uglum的````打开弦图片'''',其中字符串在地平线上结束。)然后,我们将这些脱壳结果与竞争对手``orbifold replica trick''进行比较``orbifold replica track'''''允许Tachyons凝结在Orbifold上。探索了与ER = EPR猜想的可能连接。最后,我们讨论了各种扩展的前景,包括在大部分广告中得出全息纠缠熵的前景。
In 1994, Susskind and Uglum argued that it is possible to derive the Bekenstein-Hawking entropy $A/4G_N$ from string theory. In this article we explain the conceptual underpinnings of this argument, while elucidating its relationship to induced gravity and ER=EPR. Following an off-shell calculation by Tseytlin, we explicitly derive the classical closed string effective action from sphere diagrams at leading order in $α^{\prime}$. We then show how to use this to obtain black hole entropy from the RG flow of the NLSM on conical manifolds. (We also briefly discuss the more problematic ``open string picture'' of Susskind and Uglum, in which strings end on the horizon.) We then compare these off-shell results with the rival ``orbifold replica trick'' using the on-shell $\mathbb{C}/Z_{N}$ background, which does not account for the leading order Bekenstein-Hawking entropy -- unless perhaps tachyons are allowed to condense on the orbifold. Possible connections to the ER=EPR conjecture are explored. Finally, we discuss prospects for various extensions, including prospects for deriving holographic entanglement entropy in the bulk of AdS.