Randall-Sundrum model (https://en.wikipedia.org/wiki/Randall%E2%80%93Sundrum_model) is related on string theory.
String theory can be background independent (https://en.wikipedia.org/wiki/Background_independence):
String theory is usually formulated with perturbation theory around a fixed background. While it is possible that the theory defined this way is locally background-invariant, if so, it is not manifest, and it is not clear what the exact meaning is. One attempt to formulate string theory in a manifestly background-independent fashion is string field theory, but little progress has been made in understanding it. Another approach is the conjectured, but yet unproven AdS/CFT duality
Since some "types" of Randall-Sundrum models have been useful to understand AdS/CFT, can they be background independent as well?
Are there some "types" of Randall-Sundrum models which are completely based on string theory?
Also, are there any "types" of Randall-Sundrum models that are completely independent from string theory? That could possibly be right even if string theory is wrong?
And finally, can we build Randall-Sundrum models that can represent any type of theory/mathematical structure (similar to what happens with holographic principle)?