# Aps instability and the topology of the brane-world

@article{McInnes2004ApsIA, title={Aps instability and the topology of the brane-world}, author={Brett McInnes}, journal={Physics Letters B}, year={2004}, volume={593}, pages={10-16} }

Abstract As is well known, classical general relativity does not constrain the topology of the spatial sections of our Universe. However, the brane-world approach to cosmology might be expected to do so, since in general any modification of the topology of the brane must be reflected in some modification of that of the bulk. Assuming the truth of the Adams–Polchinski–Silverstein conjecture on the instability of non-supersymmetric AdS orbifolds, evidence for which has recently been accumulating…

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## References

SHOWING 1-10 OF 59 REFERENCES

Orbifold physics and de Sitter spacetime

- Physics
- 2004

Abstract It is generally believed the way to resolve the black hole information paradox in string theory is to embed the black hole in anti-de Sitter spacetime— without of course claiming that…

Towards inflation in string theory

- Physics
- 2003

We investigate the embedding of brane inflation into stable compactifications of string theory. At first sight a warped compactification geometry seems to produce a naturally flat inflaton potential,…

Localized Tachyons and the Quantum McKay Correspondence

- Physics, Mathematics
- 2004

The condensation of closed string tachyons localized at the fixed point of a d/Γ orbifold can be studied in the framework of renormalization group flow in a gauged linear sigma model. The evolution…

Braneworld dynamics with the BRANECODE

- Physics
- 2004

We give a full nonlinear numerical treatment of time-dependent 5D braneworld geometry, which is determined self-consistently by potentials for the scalar field in the bulk and at two orbifold branes,…

Closer towards inflation in string theory

- Physics
- 2004

In brane inflation, the relative brane position in the bulk of a brane world is the inflaton. For branes moving in a compact manifold, the approximate translational (or shift) symmetry is necessary…

Can inflating braneworlds be stabilized

- Physics
- 2004

We investigate scalar perturbations from inflation in braneworld cosmologies with extra dimensions. For this we calculate scalar metric fluctuations around five dimensional warped geometry with four…

Aspects of Type IIB Theory on ALE Spaces

- Physics
- 1996

D–brane technology and strong/weak coupling duality supplement traditional orbifold techniques by making certain background geometries more accessible. In this spirit, we consider some of the…

Spacetime Quotients, Penrose Limits and Conformal Symmetry Restoration

- Physics
- 2003

In this paper we study the Penrose limit of AdS5 orbifolds. The orbifold can be either in the pure spatial directions or space and time directions. For the AdS5/Γ × S5 spatial orbifold we observe…

Topology and the cosmic microwave background

- Physics
- 2002

Abstract Nature abhors an infinity. The limits of general relativity are often signaled by infinities: infinite curvature as in the center of a black hole, the infinite energy of the singular big…

Moduli potentials in string compactifications with fluxes: Mapping the discretuum

- Physics
- 2004

We find de Sitter and flat space solutions with all moduli stabilized in four dimensional supergravity theories derived from the heterotic and type II string theories, and explain how all the…