English

Flux vacua and modularity

High Energy Physics - Theory 2020-10-08 v2

Abstract

Geometric modularity has recently been conjectured to be a characteristic feature for flux vacua with W=0W=0. This paper provides support for the conjecture by computing motivic modular forms in a direct way for several string compactifications for which such vacua are known to exist. The analysis of some Calabi-Yau manifolds which do not admit supersymmetric flux vacua shows that the reverse of the conjecture does not hold.

Keywords

Cite

@article{arxiv.2003.01056,
  title  = {Flux vacua and modularity},
  author = {Rolf Schimmrigk},
  journal= {arXiv preprint arXiv:2003.01056},
  year   = {2020}
}

Comments

24 pages; extended version, added references, typos corrected

R2 v1 2026-06-23T14:00:47.676Z