当前位置: X-MOL 学术J. High Energy Phys. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
String scale thermal anti-de Sitter spaces
Journal of High Energy Physics ( IF 5.4 ) Pub Date : 2021-05-04 , DOI: 10.1007/jhep05(2021)024
Sujay K. Ashok , Jan Troost

We study finite temperature string scale AdS3 backgrounds. One background is AdS3 × S1 × T 2 in which the anti-de Sitter space-time and the circle are at the radius \( \sqrt{\alpha^{\prime }} \). Using path integral techniques, we show that the bulk spectrum includes a continuum of states as well as Ramond-Ramond ground states that agree with those of the symmetric orbifold of the two-torus after second quantization. We also examine the one-loop free energy of the background AdS3 × S1 at curvature radius \( \sqrt{2{\alpha}^{\prime }/3} \). In the space-time NSNS sector, the string theory spontaneously breaks conformal symmetry as well as R-charge conjugation symmetry. We prove that the minimum in the boundary energy is reached for a singly wound string. In the RR sector, we classify the infinite set of ground states with fractional R-charges. Moreover, we remark on the behaviour of critical temperatures as the curvature scale becomes smaller than the string scale.

In an appendix, we derive the Hawking-Page transition in string theory by integrating a world sheet one-point function.

A preprint version of the article is available at ArXiv.


中文翻译:

弦规模的热防de Sitter空间

我们研究有限温度字符串规模的AdS 3背景。一个背景是AdS 3 ×S 1 ×T 2,其中反de Sitter时空和圆的半径为\(\ sqrt {\ alpha ^ {\ prime}} \)。使用路径积分技术,我们显示出整体频谱包括状态的连续体以及在第二次量化后与两个托勒斯对称双峰一致的拉蒙德-拉蒙德基态。我们还检查了曲率半径\(\ sqrt {2 {\ alpha} ^ {\ prime} / 3} \)时背景AdS 3 ×S 1的单环自由能。在时空NSNS领域,弦论自发地打破了共形对称性以及R电荷共轭对称性。我们证明,单缠绕的弦达到了边界能的最小值。在RR扇区中,我们用分数R电荷对无穷多个基态进行分类。此外,当曲率标度变得小于弦标度时,我们将讨论临界温度的行为。

在附录中,我们通过集成世界单点函数来推导弦论中的霍金-佩奇转换。

该文章的预印本可在ArXiv上获得。
更新日期:2021-05-05
down
wechat
bug