Large branes in AdS and their field theory dual

Abstract

Recently it was suggested that a graviton in AdS5 × S5 with a large momentum along the sphere can blow up into a spherical D-brane in S5. In this paper we show that the same graviton can also blow up into a spherical D-brane in AdS5 with exactly the same quantum numbers (angular momentum and energy). These branes are BPS, preserving 16 of the 32 supersymmetries. We show that there is a BPS classical solution for SYM on S3 × R with exactly the same quantum numbers. The solution has non-vanishing The holographic principle [1] is a reformulation of theories with gravity as a theory without gravity in fewer dimensions. Such a reformulation implies a one-to-one correspondence for the degrees of freedom and the observables between the bulk and the boundary. This seems unlikely at first sight because these theories live on space-times of different dimensions.