Compromise of Localized Graviton with a Small Cosmological Constant in Randall-Sundrum Scenario

A new mechanism which leads to a linearized massless graviton localized on the brane is found in theAdS/CFT setting, i.e. in a single copy of AdS5 spacetime with a singular brane on the boundary, within the Randall-Sundrum brane-world scenario. With an help of a recent development in path-integral techniques, a one-parameter family of propagators for linearized gravity is obtained analytically, in which a parameter ξ reflects various kinds of boundary conditions that arise as a result of the half-line constraint. In the case of a Dirichlet boundary condition (ξ = 0) the graviton localized on the brane can be massless via coupling constant renormalization. Our result supports a conjecture that the usual Randall-Sundrum scenario is a regularized version of a certain underlying theory. ∗Email:[email protected] †Email:[email protected], [email protected]