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2020

Revisiting the AdS Boson Stars: the Mass-Charge Relations

Liu, Hai-Shan, Lu, H., Pang, Yi

Understand

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.