Breathing mode compactifications and supersymmetry of the brane-world

TL;DR

This paper investigates the supersymmetry properties of sphere compactifications in string and M-theory, focusing on breathing and squashing modes, and derives effective supersymmetry transformations in various dimensions.

Contribution

It provides a detailed analysis of supersymmetry in breathing mode compactifications and extends the study to include squashing modes and truncations in higher-dimensional theories.

Findings

Supersymmetry transformations for breathing modes in five-dimensional supergravity are derived.

The impact of squashing modes on supersymmetry truncations from N=8 to N=2 is discussed.

Connections between brane-world models and sphere compactifications are elucidated.

Abstract

It has recently been shown that the Randall-Sundrum brane-world may be obtained from an appropriate doubled D3-brane configuration in type IIB theory. This corresponds, in five dimensions, to a sphere compactification of the original IIB theory with a non-trivial breathing mode supporting the brane. In this paper, we shall study the supersymmetry of this reduction to massive five-dimensional supergravity, and derive the effective supersymmetry transformations for the fermionic superpartners to the breathing mode. We also consider the sphere compactifications of eleven-dimensional supergravity to both four and seven dimensions. For the compactifications on S^5 and S^7, we include a squashing mode scalar and discuss the truncation from N=8 to N=2 supersymmetry.