English

Dirac operator spectrum on a nilmanifold

High Energy Physics - Theory 2022-07-20 v1

Abstract

We obtain the spectrum of the Dirac operator on the three-dimensional Heisenberg nilmanifold M3\mathcal{M}_3, and its complete dependence on the metric moduli. As an application, we construct the four-dimensional low-energy effective action obtained by compactification of a seven-dimensional gauge-fermion theory on M3\mathcal{M}_3.

Keywords

Cite

@article{arxiv.2202.11437,
  title  = {Dirac operator spectrum on a nilmanifold},
  author = {Aldo Deandrea and Fabio Dogliotti and Dimitrios Tsimpis},
  journal= {arXiv preprint arXiv:2202.11437},
  year   = {2022}
}

Comments

14 pages

R2 v1 2026-06-24T09:50:58.108Z