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arXiv · 2202.11437

Dirac operator spectrum on a nilmanifold

Aldo Deandrea·Fabio Dogliotti·Dimitrios Tsimpis
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Abstract

We obtain the spectrum of the Dirac operator on the three-dimensional Heisenberg nilmanifold $\mathcal{M}_3$, 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 $\mathcal{M}_3$.

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Aldo Deandrea, Fabio Dogliotti, Dimitrios Tsimpis. 2022-02-23. Dirac operator spectrum on a nilmanifold. https://doi.org/10.1016/j.nuclphysb.2022.115895

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