2013/06/05 by Pedro, F. G., Rummel, M., Westphal, A.
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.1306.1237
We analyse a new \cal N=1 string tree level correction at \cal O(α'2) to the Kähler potential of the volume moduli of type IIB Calabi-Yau flux compactification found recently by Grimm, Savelli and Weissenbacher~\citeGrimm:2013gma and its impact on the moduli potential. We find that it imposes a strong lower bound the Calabi-Yau volume in the Large Volume Scenario of moduli stabilisation. For KKLT-like scenarios we find that consistency of the action imposes an upper bound on the flux superpotential |W0|\lesssim 10-3, while parametrically controlled survival of the KKLT minimum needs extreme tuning of W0 close to zero. We also analyse the Kähler uplifting mechanism showing that it can operate on Calabi-Yau manifolds where the new correction is present and dominated by the 4-cycle controlling the overall volume if the volume is stabilised at values V \gtrsim 103. We discuss the phenomenological implication of these bounds on V in the various scenarios.