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arXiv · 1806.05156

Laplacian spectrum on a nilmanifold, truncations and effective theories

David Andriot·Dimitrios Tsimpis
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Abstract

Motivated by low energy effective theories arising from compactification on curved manifolds, we determine the complete spectrum of the Laplacian operator on the three-dimensional Heisenberg nilmanifold. We first use the result to construct a finite set of forms leading to an N=2 gauged supergravity, upon reduction on manifolds with SU(3) structure. Secondly, we show that in a certain geometrical limit the spectrum is truncated to the light modes, which turn out to be left-invariant forms of the nilmanifold. We also study the behavior of the towers of modes at different points in field space, in connection with the refined swampland distance conjecture.

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David Andriot, Dimitrios Tsimpis. 2018-10-11. Laplacian spectrum on a nilmanifold, truncations and effective theories. https://doi.org/10.1007/jhep09(2018)096

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