On Cosmological Constants from alpha'-Corrections

Details On Cosmological Constants from alpha'-Corrections On Cosmological Constants from alpha'-Corrections

2012-04-03

arxiv.org/abs/1204.0807v1

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, no figures

Scientific paper

We examine to what extent perturbative alpha'-corrections can generate a small cosmological constant in warped string compactifications. Focusing on the heterotic string at lowest order in the string loop expansion, we show that, for a maximally symmetric spacetime, the alpha'-corrected 4D scalar potential has no effect on the cosmological constant. The only relevant terms are instead higher order products of 4D Riemann tensors, which, however, are found to vanish in the usual perturbative regime of the alpha'-expansion. The heterotic string therefore only allows for 4D Minkowski vacua to all orders in alpha', unless one also introduces string loop and/or nonperturbative corrections or allows for curvatures or field strengths that are large in string units.

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