English

Twisted heterotic/type I duality

High Energy Physics - Theory 2021-10-28 v1 Mathematical Physics math.MP Quantum Algebra

Abstract

We formulate a twisted version of the conjectured duality between heterotic and type I string theories. Our formulation relates the chiral part of the heterotic string with a type I topological B-model on a Calabi-Yau five-fold. We provide a non-trivial check of this duality by showing that certain infinite-dimensional Lie algebras of global gauge transformations built from each theory are isomorphic. Matching the structure constants of the Lie algebras involves a detailed analysis of one-loop corrections on the type I side.

Keywords

Cite

@article{arxiv.2110.14616,
  title  = {Twisted heterotic/type I duality},
  author = {Kevin Costello and Brian R. Williams},
  journal= {arXiv preprint arXiv:2110.14616},
  year   = {2021}
}
R2 v1 2026-06-24T07:14:34.179Z