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arXiv · 2608.09878

Eigenforms and special holonomy

Bobby Acharya·Lucía Cabrera·Simone Corbo·Jason D. Lotay
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Abstract

We prove existence and non-existence results for $L^2$ eigenforms for the Hodge Laplacian on complete non-compact Ricci flat manifolds with special holonomy, with a particular focus on gravitational instantons. We briefly describe the physical interpretation of these results in superstring and M-theory.

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Bobby Acharya, Lucía Cabrera, Simone Corbo, Jason D. Lotay. 2026-08-10. Eigenforms and special holonomy. https://arxiv.org/abs/2608.09878

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