Abstract
We argue that compactifications on Calabi-Yau threefolds with vanishing Euler number yield effective four dimensional theories exhibiting (spontaneously broken) N = 4 supersymmetry. To this end, we derive the low-energy effective action for general SU(2) structure manifolds in type IIA string theory and show its consistency with gauged N = 4 supergravity. Focusing on the special case of Calabi-Yau manifolds with vanishing Euler number, we explain the absence of perturbative corrections at the two-derivative level. In addition, we conjecture that all non-perturbative corrections are governed and constrained by the couplings of N = 4 massive gravitino multiplets.
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Kashani-Poor, AK., Minasian, R. & Triendl, H. Enhanced supersymmetry from vanishing Euler number. J. High Energ. Phys. 2013, 58 (2013). https://doi.org/10.1007/JHEP04(2013)058
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DOI: https://doi.org/10.1007/JHEP04(2013)058