arXiv:1204.0807v2 [hep-th] 17 Aug 2012 ITP-UH-08/12 On Cosmological Constants from α′-Corrections Friðrik Freyr Gautason, Daniel Junghans and Marco Zagermann Institut für Theoretische Physik & Center for Quantum Engineering and Spacetime Research Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany fridrik.gautason, daniel.junghans, marco.zagermann@itp.uni-hannover.de Abstract We examine to what extent perturbativeα′-corrections can generate a small cos- mological 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, theα′-corrected 4D scalar potential has no effect on the cos- mological constant.The only relevant terms are instead higher order products of 4D Riemann tensors, which, however, are found to vanish in the usual perturba- tive regime of theα′-expansion.The heterotic string therefore only allows for 4D Minkowski vacua to all orders inα′, unless one also introduces string loop and/or nonperturbative corrections or allows for curvatures or field strengths that are large in string units.In particular, we find that perturbativeα′-effects cannot induce weakly curvedAdS4solutions.
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