Scholarlink

<p>We raise a thermodynamic puzzle for Horowitz-Polchinski (HP) solutions in the presence of extra compact dimensions and show that it can be resolved by the existence of higher-dimensional string stars. We provide non-trivial evidence for the existence of such string stars in spacetime dimensions <i>d</i> ≥ 7 as higher-dimensional counterparts of HP solutions. In particular, we explicitly construct string star solutions in <i>d</i> = 7 that are under perturbative control. In <i>d</i> &gt; 7, at the Hagedorn temperature, we identify these string stars as a specific normalizable representative of a new one-parameter bounded family of Euclidean solutions which can be under perturbative control. The higher-order <i>α</i><sup>′</sup> corrections play a crucial role in our arguments and, as pointed by other works, nullify the previous arguments against the existence of string stars in <i>d</i> ≥ 7. The higher-dimensional string stars have non-zero free energy at Hagedorn temperature and their mass and free energy are of the same order as those of a string-sized black hole. In <i>d</i> &gt; 7, these solutions are string sized, but in <i>d</i> = 7, the size of these solutions diverges as ∼ (<i>T</i><sub>H</sub> − <i>T</i>)<sup>−1/4</sup> near the Hagedorn temperature.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

String stars in d ≥ 7

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年9月26日

查看全文
  • Alek Bedroya,
  • David H. Wu

摘要

We raise a thermodynamic puzzle for Horowitz-Polchinski (HP) solutions in the presence of extra compact dimensions and show that it can be resolved by the existence of higher-dimensional string stars. We provide non-trivial evidence for the existence of such string stars in spacetime dimensions d ≥ 7 as higher-dimensional counterparts of HP solutions. In particular, we explicitly construct string star solutions in d = 7 that are under perturbative control. In d > 7, at the Hagedorn temperature, we identify these string stars as a specific normalizable representative of a new one-parameter bounded family of Euclidean solutions which can be under perturbative control. The higher-order α′ corrections play a crucial role in our arguments and, as pointed by other works, nullify the previous arguments against the existence of string stars in d ≥ 7. The higher-dimensional string stars have non-zero free energy at Hagedorn temperature and their mass and free energy are of the same order as those of a string-sized black hole. In d > 7, these solutions are string sized, but in d = 7, the size of these solutions diverges as ∼ (TH − T)−1/4 near the Hagedorn temperature.