Curvature corrections to KPV: Do we need deep throats?

Abstract

We consider ${\alpha }^{\prime 2}$ curvature corrections to the action of an NS5-brane which plays the key role in the metastability analysis of warped anti-D3-brane uplifts by Kachru, Pearson and Verlinde (KPV). Such corrections can dramatically alter the KPV analysis. We find that for the ${\alpha }^{\prime 2}$-corrections to be sufficiently small to recover essentially the leading-order KPV potential one needs a surprisingly large $S^3$ radius, corresponding to $g_{s}M>20$. In the context of the Large Volume Scenario (LVS) this implies a D3-tadpole of at least $\mathcal{O}(10^3-10^4)$. However, large ${\alpha }^{\prime 2}$-corrections do not necessarily spoil the uplift in KPV. Rather, as the curvature corrections lower the tension of the brane, a novel uplifting mechanism suggests itself where the smallness of the uplift is achieved by a tuning of curvature corrections. A key underlying assumption is the existence of a dense discretuum of $g_s$. This new mechanism does not require a deep warped throat, thereby sidestepping the main difficulty in uplifting KKLT and LVS. However, all of the above has to be treated as a preliminary exploration of possibilities since, at the moment, not all relevant correction at the order ${\alpha }^{\prime 2}$ are known.

30 pages, 7 figures v2: minor improvements, version accepted for publication on JHEP

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