Stability of $AdS_p x S^n x S^{q-n}$ Compactifications

Details Stability of $AdS_p x S^n x S^{q-n}$ Compactifications Stability of $AdS_p x S^n x S^{q-n}$ Compactifications

2001-06-28

arxiv.org/abs/hep-th/0106265v1

Phys.Rev. D64 (2001) 084025

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, 3 figures

Scientific paper

10.1103/PhysRevD.64.084025

We examine the stability of ${\rm AdS}_p \times {\rm S}^n \times {\rm S}^{q-n}$. The initial data constructed by De Wolfe et al \cite{Gary} has been carefully analyised and we have confirmed that there is no lower bound for the total mass for $q< 9$. The effective action on ${\rm AdS}_p$ has been derived for dilatonic compactification of the system to describe the non-linear fluctuation of the background space-time. The stability is discussed applying the positive energy theorem to the effective theory on AdS, which again shows the stability for $q \geq 9$.

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