arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0910.5314hep-th
收藏

一个精确的涨落1/2- BPS组态

An Exact Fluctuating 1/2-BPS Configuration

Stefano Bellucci, Bhupendra Nath Tiwari

摘要:

这项工作探讨了热力学波动的作用,在两个参数的巨人和超级巨星配置的特点是由一个合奏的任意液滴或不规则形状的fuzzballs。我们的分析表明,化学和状态空间的几何描述表现出一组有趣的精确的对校正函数和全球相关长度。统计力学的第一原理表明,可能的正则涨落可以在没有任何近似的情况下精确地确定。有趣的是,我们的内在几何的研究证实,存在确切的波动1/2-BPS的统计配置,其中涉及一个合奏的微观状态描述的液滴或fuzzballs。在平衡化学和状态空间组态上的高斯涨落实现了一个定义良好的,非退化的,弯曲的和规则的内禀黎曼流形的所有物理允许的黑洞参数域。一个明确的计算表明,潜在的化学相关性涉及普通的求和,而状态空间的相关性可以简单地描述标准的polygamma函数。我们的建设归因于一定的稳定性字符的正则能量波动和计数熵与任意选择的激发盒从一个合奏的充足的盒子构成各种各样的杨tableaux。

英文摘要:

This work explores the role of thermodynamic fluctuations in the two parameter giant and superstar configurations characterized by an ensemble of arbitrary liquid droplets or irregular shaped fuzzballs. Our analysis illustrates that the chemical and state-space geometric descriptions exhibit an intriguing set of exact pair correction functions and the global correlation lengths. The first principle of statistical mechanics shows that the possible canonical fluctuations may precisely be ascertained without any approximation. Interestingly, our intrinsic geometric study exemplifies that there exist exact fluctuating 1/2-BPS statistical configurations which involve an ensemble of microstates describing the liquid droplets or fuzzballs. The Gaussian fluctuations over an equilibrium chemical and state-space configurations accomplish a well-defined, non-degenerate, curved and regular intrinsic Riemannian manifolds for all physically admissible domains of black hole parameters. An explicit computation demonstrates that the underlying chemical correlations involve ordinary summations, whilst the state-space correlations may simply be depicted by standard polygamma functions. Our construction ascribes definite stability character to the canonical energy fluctuations and to the counting entropy associated with an arbitrary choice of excited boxes from an ensemble of ample boxes constituting a variety of Young tableaux.

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。

↑