Supersymmetric branes with (almost) arbitrary tensions

TL;DR

This paper develops a supersymmetric extension of the two-brane Randall-Sundrum model allowing for a wide range of brane tensions, demonstrating that supersymmetry does not enforce the original fine-tuning condition.

Contribution

It introduces a generalized supersymmetric two-brane scenario with arbitrary tensions, unifying previous models and clarifying the role of supersymmetry in brane tension fine-tuning.

Findings

Allows arbitrary brane tensions within a specific bound.

Shows supersymmetry does not require the original Randall-Sundrum fine-tuning.

Derives effective four-dimensional supergravity with a range of cosmological constants.

Abstract

We present a supersymmetric version of the two-brane Randall-Sundrum scenario, with arbitrary brane tensions T_1 and T_2, subject to the bound |T_{1,2}| \leq \sqrt{-6\Lambda_5}, where \Lambda_5 < 0 is the bulk cosmological constant. Dimensional reduction gives N=1, D=4 supergravity, with cosmological constant \Lambda_4 in the range \half\Lambda_5 \leq \Lambda_4 \leq 0. The case with \Lambda_4 = 0 requires T_1 = -T_2 = \sqrt{-6\Lambda_5}. This work unifies and generalizes previous approaches to the supersymmetric Randall-Sundrum scenario. It also shows that the Randall-Sundrum fine-tuning is not a consequence of supersymmetry.