English

A-models in three and four dimensions

High Energy Physics - Theory 2010-02-24 v1

Abstract

We introduce and study a new 3d Topological Field Theory which can be associated to any compact real manifold X. This TFT is analogous to the 2d A-model and reduces to it upon compactification on an interval with suitable boundary conditions. It plays a role in 3d mirror symmetry as well as in the physical approach to the geometric Langlands duality. A similar TFT can be defined in four dimensions.

Keywords

Cite

@article{arxiv.1002.4241,
  title  = {A-models in three and four dimensions},
  author = {Anton Kapustin and Ketan Vyas},
  journal= {arXiv preprint arXiv:1002.4241},
  year   = {2010}
}

Comments

16 pages, latex

R2 v1 2026-06-21T14:50:01.826Z