The AdS/CFT Correspondence at Long Wavelength: Fluid/Gravity Correspondence

Abstract

The project aims to study the fluid/gravity correspondence. We study the relativistic fluid to the first order in the derivative expansion and get the form of the conformal fluid energy-momentum tensor after discussing the conformal symmetry. We also study the gravity side of the correspondence by considering the AdS space in (d+2)-dimensions and discuss its conformal boundary. We outline the method of solving Einstein’s equation to first order in derivative expansion without performing the calculations explicitly. The dual description can be obtained once the calculation has been done. We briefly mention what is the expected result one can conclude based on the discussion in [1, 2, 3].