Dirac operator spectrum on a nilmanifold
arXiv:2202.11437 · doi:10.1016/j.nuclphysb.2022.115895
Abstract
We obtain the spectrum of the Dirac operator on the three-dimensional Heisenberg nilmanifold , 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 .
14 pages