Abstract
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 corresponding to k = 0 and ∞ respectively. By varying k, we numerically read off the k dependence of the leading coefficient c3/2(k) ≡ limQ→∞ M/Q3/2. 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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Guo, SF., Liu, HS., Lü, H. et al. Large-charge limit of AdS boson stars with mixed boundary conditions. J. High Energ. Phys. 2021, 220 (2021). https://doi.org/10.1007/JHEP04(2021)220
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DOI: https://doi.org/10.1007/JHEP04(2021)220