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arXiv · 2007.09992

Moduli spaces of Calabi-Yau $d$-folds as gravitational-chiral instantons

Sergio Cecotti
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Abstract

Motivated by the swampland program, we show that the Weil-Petersson geometry of the moduli space of a Calabi-Yau manifold of complex dimension $d\leq4$ is a gravitational instanton (i.e. a finite-action solution of the Euclidean equations of motion of gravity with matter). More precisely, the moduli geometry of Calabi-Yau $d$-folds ($d\leq4$) describes instantons of (E)AdS Einstein gravity coupled to a standard chiral model. From the point of view of the low-energy physics of string/M-theory compactified on the Calabi-Yau $X$, the various fields propagating on its moduli space are the couplings appearing in the effective Lagrangian $\mathscr{L}_\text{eff}$.

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Sergio Cecotti. 2020-07-20. Moduli spaces of Calabi-Yau $d$-folds as gravitational-chiral instantons. https://doi.org/10.1007/jhep12(2020)008

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