Abstract
We study M-Theory solutions with G-flux on the Fermat sextic Calabi-Yau fourfold, focussing on the relationship between the number of stabilized complex structure moduli and the tadpole contribution of the flux. We use two alternative approaches to define the fluxes: algebraic cycles and (appropriately quantized) Griffiths residues. In both cases, we collect evidence for the non-existence of solutions which stabilize all moduli and stay within the tadpole bound.
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Acknowledgments
The authors want to thank Hossein Movasati for the invitation to participate in his GADEPs Seminar, were this collaboration originally started. D.L.G. was supported by grant #2022/04705-8, São Paulo Research Foundation (FAPESP). R.V.L. was supported by Fondecyt ANID Postdoctoral Grant 3210020.
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Braun, A.P., Fortin, H., Garcia, D.L. et al. More on G-flux and general hodge cycles on the Fermat sextic. J. High Energ. Phys. 2024, 46 (2024). https://doi.org/10.1007/JHEP06(2024)046
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DOI: https://doi.org/10.1007/JHEP06(2024)046