中科院数学与系统科学研究院
数学研究所
数学物理研讨班
报告人： 吕 宏 教授（天津大学）
题 目：On AdS Bonson Stars
时 间：2021.03.23（星期二），14:00-15:00
地 点：晨兴数学中心410
摘 要：It was recently shown that charged AdS boson stars can reproduce the universal structure of the lowest scaling dimension in the subsector of a CFT with fixed large global U(1) charge Q. Using the model consisting of Einstein-Maxwell gravity with a negative cosmological constant, coupled to a U(1)-charged conformally massless scalar with the fourth-order self interaction, we construct a class of charged AdS boson star solutions in the large Q limit, where the scalar field obeys a mixed boundary condition, parameterized by k that interpolates between the Neumann and Dirichlet boundary conditions. By varying k, we numerically read off the k dependence of the leading coefficient. We find that c3/2(k) is a monotonously increasing function which grows linearly when k is sufficiently small. When k→∞, c3/2(k) approaches the maximal value at a decreasing rate given by k−3/2 . We also obtain a close form expression that fits the numerical data for the entire range of k within 10−4 accuracy.
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