A supersymmetric Type IIB Randall-Sundrum realization

TL;DR

This paper demonstrates a supersymmetric realization of the Randall-Sundrum brane-world within type IIB supergravity, utilizing a domain wall solution and a novel Z_2 symmetry implementation to circumvent previous no-go theorems.

Contribution

It provides a ten-dimensional interpretation of the Randall-Sundrum model in type IIB supergravity, introducing a new scalar mode with E_0=8 and a mode-locking mechanism to avoid negative energy modes.

Findings

Supersymmetric realization of Randall-Sundrum in type IIB supergravity

Implementation of Z_2 symmetry via opposite sign 5-form field strengths

Avoidance of negative energy zero-modes through mode-locking

Abstract

We show that an earlier domain wall solution of type IIB supergravity provides a supersymmetric realization of the Randall-Sundrum brane-world, and give its ten-dimensional interpretation in terms of IIB 3-branes. We also explain how previous no-go theorems are circumvented. In particular, whereas D=5 supergravity scalars have AdS_5 energy E_0 <= 4 and are unable to support a D=5 positive tension brane, our scalar has E_0=8, and is the breathing mode of the S^5 compactification. Another essential element of the construction is the implementation of a Z_2 symmetry by patching together compactifications with opposite signs for their 5-form field strengths. This is thus a IIB analogue of a previous D=5 3-brane realization of the Horava-Witten orbifold. A mode-locking phenomenon avoids the appearance of negative energy zero-modes in spite of the necessity of a D=10 negative tension brane-source.