arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2603.07451hep-thgr-qc
收藏

大维度中修正的Gauss-Bonnet弦/黑洞相变

Gauss-Bonnet corrected string/black hole transition in large dimensions

Sogang University（西江大学）；Shanghai University（上海大学）；Dongguk University（东国大学）

Bum-Hoon Lee, Hocheol Lee, Somyadip Thakur

备注：
67 pages, 4 figures
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

AI总结：

本文通过大维度展开研究了Gauss-Bonnet修正的弦/黑洞相变，推导了修正的衰减指数和Hagedorn温度位移，并实现了热标量与黑洞相的自由能比较。

摘要：

我们发展了一种统一的解析处理方法，用于Horowitz-Polchinski弦/黑洞对应关系，系统地纳入了引力的高阶导数修正。在欧几里得符号下——其中欧几里得黑洞和热标量作为同一有限温度集合中的竞争极小值——我们引入了Gauss-Bonnet项。在这一紫外敏感区域中，通过大D展开使分析变得可行，这将几何结构清晰地分为一个通用的近区和一个渐近的远区。在近区，耦合的大D方程将热标量部分简化为一个可解的薛定谔问题，从中提取出α'修正的衰减指数以及相应的Hagedorn温度位移。在远区，我们构造了Einstein-Gauss-Bonnet理论在1/D和α'的主导阶次下的闭合形式欧几里得解。将两个区域匹配得出完整的修正极小值——确定其温度、视界数据和临界动作——并允许对热标量和黑洞相的自由能进行完全解析比较。这提供了具有显式高曲率修正的HP对应点的受控推导。

英文摘要：

We develop a unified analytic treatment of the Horowitz--Polchinski string/black hole correspondence that systematically incorporates higher-derivative corrections to gravity. Working in Euclidean signature -- where the Euclidean black hole and the thermal scalar arise as competing saddles of the same finite-temperature ensemble -- we include the Gauss--Bonnet term. The analysis is rendered tractable in this UV--sensitive regime by the large-\(D\) expansion, which sharply separates the geometry into a universal near-zone and an asymptotic far-zone. In the near-zone, the coupled large-\(D\) equations reduce the thermal-scalar sector to an exactly solvable Schrödinger problem, from which we extract the \(α'\)-corrected decay exponent and the corresponding shift of the Hagedorn temperature. In the far-zone, we construct closed-form Euclidean solutions of Einstein--Gauss--Bonnet theory at leading order in both \(1/D\) and \(α'\). Matching the two regions yields the complete corrected saddle -- fixing its temperature, horizon data, and on--shell action -- and permits a fully analytic comparison of free energies between the thermal-scalar and black hole phases. This provides a controlled derivation of the HP correspondence point with explicit higher-curvature corrections.

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。

↑