4.4 Article

Large-charge limit of AdS boson stars with mixed boundary conditions

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 4, 页码 -

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SPRINGER
DOI: 10.1007/JHEP04(2021)220

关键词

AdS-CFT Correspondence; Gauge-gravity correspondence

资金

  1. NSFC (National Natural Science Foundation of China) [12075166, 11675144, 11875200, 11935009]

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By constructing a class of charged AdS boson star solutions, we found that the leading coefficient c(3/2)(k) exhibits a monotonic increasing behavior with respect to k, showing linear growth when k is small and approaching maximal value with a decreasing rate as k tends to infinity. A closed form expression fitting the numerical data within 10(-4) accuracy for the entire range of k was also obtained.
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 infinity respectively. By varying k, we numerically read off the k dependence of the leading coefficient c(3/2)(k) equivalent to lim(Q -> infinity)M/Q(3/2). We find that c(3/2)(k) is a monotonously increasing function which grows linearly when k is sufficiently small. When k -> infinity, c(3/2)(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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