The stringy nature of the 2d type-0A black hole
The stringy nature of the 2d type-0A black hole
复制标题
二维 0A 型黑洞的弦性质
DOI：
10.1088/1126-6708/2006/05/032
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发表时间：
2005
影响因子：
5.4
通讯作者：
M. Olsson
中科院分区：
文献类型：
--
作者：
M. Olsson
研究了有限温度下RR荷电二维0A型黑洞背景的热力学性质，并与已知的0A矩阵模型结果进行了比较。有人认为时空模型和对偶矩阵模型在自由能上存在分歧。在这里，我们发现，这种差异是敏感的截止是如何实现的时空方面。特别是，一旦我们把截止点放在离视界固定的距离上，而不是在空间中的固定位置上，分歧就解决了。此外，黑洞本身的质量和熵加起来对自由能有一个解析贡献，这可以通过0A矩阵模型精确地再现。我们还使用从0A矩阵模型的结果来预测下一个领先的顺序贡献的黑洞的熵。最后，我们注意到，黑洞的特点是哈格多恩增长的状态密度低于哈格多恩温度。这与其他结果一起表明，在该温度下存在相变。
We investigate the thermodynamics of the RR charged two-dimensional type-0A black hole background at finite temperature, and compare with known 0A matrix model results. It has been claimed that there is a disagreement for the free energy between the spacetime and the dual matrix model. Here we find that this discrepancy is sensitive to how the cutoff is implemented on the spacetime side. In particular, the disagreement is resolved once we put the cutoff at a fixed distance away from the horizon, as opposed to a fixed position in space. Furthermore, the mass and the entropy of the black hole itself add up to an analytic contribution to the free energy, which is precisely reproduced by the 0A matrix model. We also use results from the 0A matrix model to predict the next to leading order contribution to the entropy of the black hole. Finally, we note that the black hole is characterized by a Hagedorn growth in its density of states below the Hagedorn temperature. This, together with other results, suggests there is a phase transition at this temperature.