Enhanced supersymmetry from vanishing Euler number
arXiv:1301.5031 · doi:10.1007/JHEP04(2013)058
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.
49 pages
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Cited by in corpus (7)
- Supersymmetric Protection and the Swampland
- IIA supergravity and M-theory on manifolds with SU(4) structure
- Heterotic non-Abelian orbifolds
- Anomalies as Obstructions: from Dimensional Lifts to Swampland
- Quantum Corrections in String Compactifications on SU(3) Structure Geometries
- Partial Supergravity Breaking and the Effective Action of Consistent Truncations
- Consistent truncations of M-theory for general SU(2) structures