An AdS/EFT correspondence at large charge

In this work we discuss the AdS/CFT correspondence in the regime Q≫CT≫1 where both the eft and gravity descriptions are valid and stable (CT being the central charge). We present the observation that the ground state energy as a function of the Abelian charge Q for a simple eft in some three-dimensional cfts coincides with the expression for the mass of an anti-de Sitter-Reissner-Nordström black hole as a function of its charge. Using this observation we propose a tentative dictionary relating cft, eft and holographic descriptions. We also find agreement for the higher-derivative corrections on both sides, suggesting a large-CT expansion on the eft side.