Relating the cosmological constant and supersymmetry breaking in warped compactifications of IIB string theory

It has been suggested that the observed value of the cosmological constant is related to the supersymmetry breaking scale M-susy through the formula Lambdasimilar toM(p)(4)(M-susy/M-p)(8). We point out that a similar relation naturally arises in the codimension two solutions of warped spacetime varying compactifications of string theory, in which nonisotropic stringy moduli induce a small but positive cosmological constant.