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arXiv 2303.02702hep-th
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弦云存在下的带电AdS黑洞与Cardy-Verlinde公式

Charged AdS Black Holes in Presence of String Cloud and Cardy-Verlinde Formula

Rishi Pokhrel, Tanay K. Dey

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28 pages, 10 fig. Journal Version
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AI总结：

研究弦云背景下带电AdS黑洞的解结构、热力学性质与稳定性，并在对偶边界理论中验证束缚态及建立含额外能量项的Cardy-Verlinde公式。

摘要：

本研究考虑了存在弦云的带电AdS黑洞。在低化学势和低弦密度的球形空间中，我们在特定温度范围内识别出三个不同的黑洞解，超出该范围后它们合并为单个黑洞。然而，在高化学势和高弦密度的情况下，所有温度下仅存在一个黑洞解。值得注意的是，我们观察到对于平坦和双曲空间，无论化学势和弦密度如何，都只有一个黑洞解。通过从在壳欧几里得作用量中减去极端黑洞的贡献，计算了与这些黑洞相关的热力学量。我们还研究了这些黑洞的稳定性，发现中等尺寸的黑洞是不稳定的。在对偶边界理论方面，我们验证了夸克-反夸克对束缚态的存在。最后，我们为边界理论建立了Cardy-Verlinde公式，并观察到由于弦云的存在而出现的额外能量项。

英文摘要：

In this study, charged AdS black holes with a string cloud are taken into consideration. We identify three distinct black hole solutions within a specific temperature range, which subsequently merge into a single black hole beyond this range in the case of spherical space with low chemical potential and string density. However, in the case of large chemical potential and string density, only one black hole solution exists for all temperatures. Notably, we observe that for flat and hyperbolic space, there is only one black hole solution irrespective of the chemical potential and string density. By subtracting the contribution of the extremal black hole from the on-shell Euclidean action, the thermodynamical quantities associated with these black holes are calculated. We also investigate the stability of these black holes and find that medium-sized black hole is unstable. In the dual boundary theory side we verify the existence of bound state of quark-antiquark pair. Finally, we establish the Cardy-Verlinde formula for the boundary theory and we observed an additional energy term arising because of the presence of string cloud.

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