An AdS/EFT correspondence at large charge

Loukas, Orestis; Orlando, Domenico; Reffert, Susanne; Sarkar, Debajyoti (2018). An AdS/EFT correspondence at large charge. Nuclear physics B, 934, pp. 437-458. Elsevier 10.1016/j.nuclphysb.2018.07.020

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Considering theories in sectors of large global charge Q results in a semiclassical effective field theory (EFT) description for some strongly-coupled conformal field theories (CFTS) with continuous global sym-metries. Hence, when studying dualities at large charge, we can have control over the strongly coupled side of the duality and gain perturbative access to both dual pairs.In this work we discuss the AdS/CFT correspondence in the regime Q >> CT>> 1whereboth the EFTand gravity descriptions are valid and stable (CTbeing 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 holo-graphic descriptions. We also find agreement for the higher-derivative corrections on both sides, suggesting a large-CT expansion on the EFT side.

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