English

On tadpole relations via Verdier specialization

Algebraic Geometry 2016-03-23 v3 High Energy Physics - Theory

Abstract

Using the construct of "Verdier specialization", we provide a purely mathematical derivation of Chern class identities which upon integration yield the D3-brane tadpole relations coming from the equivalence between F-theory and associated weakly coupled type IIB orientifold limits. In particular, we find that all Chern class identities associated with weak coupling limits appearing in the physics literature are manifestations of a relative version of Verdier's specialization formula.

Keywords

Cite

@article{arxiv.1511.03752,
  title  = {On tadpole relations via Verdier specialization},
  author = {James Fullwood},
  journal= {arXiv preprint arXiv:1511.03752},
  year   = {2016}
}

Comments

No figures, correction in table 5 for the $Q_7$ fibration, Journal of Geometry and Physics, 2016

R2 v1 2026-06-22T11:43:12.409Z