扩展超引力中中性毛状黑洞的热超势与热力学
Thermal superpotential and thermodynamics of neutral hairy black holes in extended SUGRA
AI总结：
该研究在含FI项的扩展超引力中构造了中性毛状黑洞解，分析其热力学性质及Hawking--Page相变，推导出闭合形式热超势并验证其正则化作用，为全息应用提供理论基础。
摘要：
我们在含Fayet--Iliopoulos（FI）项的扩展超引力中，提出了一族具有球对称视界拓扑的精确中性毛状黑洞解。考虑一致的胀子截断，详细分析FI项磁分量为零的扇区。利用适当的胀子抵消项计算热力学量，证明存在Hawking--Page相变。作为全息应用，我们推导出闭合形式的热超势并将其用作抵消项，明确表明无需额外有限抵消项即可正则化欧几里得作用量和准局域应力张量。对偶应力张量与无质量粒子热气体的应力张量匹配，且与保持共形对称性的混合胀子边界条件一致。
英文摘要：
We present a family of exact neutral hairy black-hole solutions with spherical horizon topology in extended supergravity with Fayet--Iliopoulos terms. We consider a consistent dilaton truncation and analyze in detail a sector where the magnetic part of the FI terms vanishes. Using appropriate dilaton counterterms, we compute the thermodynamic quantities and show the existence of Hawking--Page phase transitions. As a holographic application, we derive the thermal superpotential in closed form and use it as a counterterm, explicitly demonstrating that no additional finite counterterms are required to regularize the Euclidean action and the quasi-local stress tensor. The dual stress tensor matches that of a thermal gas of massless particles and is consistent with mixed dilaton boundary conditions that preserve conformal symmetry.
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