English

Type IIA and Heterotic String Vacua in D=2

High Energy Physics - Theory 2010-12-03 v2

Abstract

We study type IIA string theory compactified on Calabi-Yau fourfolds and heterotic string theory compactified on Calabi-Yau threefolds times a two-torus. We derive the resulting effective theories which have two space-time dimensions and preserve four supercharges. The duality between such vacua is established at the level of the effective theory. For type IIA vacua with non-trivial Ramond-Ramond background fluxes a superpotential is generated. We show that for a specific choice of background fluxes and a fourfold which has the structure of a threefold fibred over a sphere the superpotential coincides with the superpotential recently proposed by Taylor and Vafa in compactifications of type IIB string theory on a threefold.

Keywords

Cite

@article{arxiv.hep-th/0011075,
  title  = {Type IIA and Heterotic String Vacua in D=2},
  author = {Michael Haack and Jan Louis and Monika Marquart},
  journal= {arXiv preprint arXiv:hep-th/0011075},
  year   = {2010}
}

Comments

27 pages, changed referencing and made small changes