论文标题
重新访问广告玻色子之星：大规模收费关系
Revisiting the AdS Boson Stars: the Mass-Charge Relations
论文作者
论文摘要
由于最近解决了共形田间理论的大电荷领域的进展，我们重新审视了玻色颗星渐近造型与全球广告的质量 - 电荷关系。我们在玩具型号中构建和分类了大量电荷的玻色子星解决方案，并由$ su（3）$（3）$和$ u（1）^4 $ tuncation t = 4 $ d = 4 $ $ so（8）$测量最大超级重力产生的两个超级重力模型。我们找到了一个简单的ANSATZ，可用于化学电位，可以在全部充电范围内以惊人的精度拟合数值数据。结合热力学的第一定律，我们可以评估质量作为电荷的函数，并在固定电荷集合中获得自由能。我们表明，在玩具模型中，基态可以是极端RN黑洞或玻色子星，具体取决于参数区域。对于$ su（3）$截断，与$ U（1）^4 $模型相比，极端RN黑洞始终是基态状态的玻色子恒星，其自由能的自由能比极端RN黑洞更小。在所有模型中，对于任意大电荷的玻色子星溶液，我们表明，质量的大电荷扩展再现在CFT侧表现出相同的结构。
Motivated by the recent progress in solving the large charge sector of conformal field theories, we revisit the mass-charge relation of boson stars asymptotic to global AdS. We construct and classify a large number of electrically charged boson star solutions in a toy model and two supergravity models arising from the $SU(3)$ and $U(1)^4$ truncation of $D=4$ $SO(8)$ gauged maximal supergravity. We find a simple ansatz for the chemical potential that can fit the numerical data in striking accuracy for the full range of charge. Combining with the first law of thermodynamics, we can then evaluate the mass as a function of the charge and obtain the free energy in the fixed charge ensemble. We show that in the toy model, the ground state can be either the extremal RN black hole or the boson stars depending on the parameter region. For the $SU(3)$ truncation, there always exists a boson star that has smaller free energy than the extremal RN black hole, in contrast to the $U(1)^4$ model where the extremal RN black hole is always the ground state. In all models, for boson star solutions with arbitrarily large charge, we show that the large charge expansion of the mass reproduces the same structure exhibited in the CFT side.
