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PreprintCC BY 4.0arXiv

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 L2 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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Cite

BibTeXRIS
BibTeX
@misc{acharya2026eigenforms,
  title = {{Eigenforms and special holonomy}},
  author = {Bobby Acharya and Lucía Cabrera and Simone Corbo and Jason D. Lotay},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.09878},
  eprint = {2608.09878},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.09878},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Eigenforms and special holonomy
AU  - Bobby Acharya
AU  - Lucía Cabrera
AU  - Simone Corbo
AU  - Jason D. Lotay
PY  - 2026
DA  - 2026/09/04
PB  - arXiv
DO  - 10.48550/arxiv.2608.09878
UR  - https://arxiv.org/abs/2608.09878
AB  - 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.
ER  -