Exponential and power law hierarchies from supergravity

Kehagias, A.

doi:10.1016/S0370-2693(99)01183-1

Exponential and power law hierarchies from supergravity

A. Kehagias
(
- CERN
)

Jun, 1999

9 pages

Published in:

Phys.Lett.B 469 (1999) 123-128

e-Print:

hep-th/9906204 [hep-th]

DOI:

10.1016/S0370-2693(99)01183-1

Report number:

CERN-TH-99-192

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Abstract:

We examine how a d-dimensional mass hierarchy can be generated from a d+1-dimensional set up. We consider a d+1--dimensional scalar, the hierarchon, which has a potential as in gauged supergravities. We find that when it is in its minimum, there exist solutions of Horava-Witten topology R^d X S^1/Z^2 with domain walls at the fixed points and anti-de Sitter geometry in the bulk. We show that while standard Poincare supergravity leads to power-law hierarchies, (e.g. a power law dependence of masses on the compactification scale), gauged supergravity produce an exponential hierarchy as recently proposed by Randall and Sundrum.

Note:

10 pages Report-no: CERN-TH/99-192

supergravity
mass: hierarchy
any-dimensional
gauge field theory
domain wall
fixed point
space-time: anti-de Sitter
potential

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