论文标题
Nilmanifold上的Dirac操作员频谱
Dirac operator spectrum on a nilmanifold
论文作者
论文摘要
我们在三维Heisenberg Nilmanifold $ \ Mathcal {M} _3 $上获得了Dirac运算符的频谱，并且它完全依赖于公制模量。作为应用程序，我们构建了通过压实$ \ MATHCAL {M} _3 $的七维仪表 - 特里术理论获得的四维低能有效动作。
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 $\mathcal{M}_3$.
