de Sitter space and Holography

Some comments on dS/dS correspondence• The de Sitter space is a particularly symmetric example ofa Randall-Sundrum system. Bulk gravity calculations allow oneto probe some of the basic physics of induced gravity.• We computed several quantities determining how the lowerdimensional theory behaves at energies above the cutoff. Thisresulted in a holographic verification that the total centralcharge and heat capacity is zeroed out and that a simpleasymptotic dressing of operator dimensions arises. These areboth features familiar in 2d gravity plus matter systems. Directcouplings between the two CFTs are also required.• The duality naturally can also be extended to situationswith changing cosmological constant, such as inflation.• Repeated application of our duality allows one to go tosufficiently low dimensions, that is two or one, so that gravitybecomes non-dynamical and its effects reduce to constraints.• The motivation for this dual formulation is ultimately toprovide a framework for the physics of accelerated expansionin the real universe. Although at large radius and low energiesthe effective weakly coupled description remains the bulk ddimensional one, the description in terms of d − 1 dimensionalphysics may shed light on the physics of inflation and darkenergy.57