Some aspects of ADS/CFT correspondence

Abstract

In the context of holography in string theory we study AdS/CFT which is the best candi date for quantum gravity and it gives a concrete theoretic realization to it. In AdS/CFT the extrapolate dictionary can be understood as the bulk fields being reconstructed from modular flow of boundary operators which reduces to OPE block reconstruction of bulk fields. Then we compute various OPE blocks with different spins in 2 and d dimensions and show that OPE blocks in 2 dimensions are Fourier modes of the modular Hamiltonian. Thus OPE blocks can be used as CFT input for bulk reconstructions.