## arXiv Analytics

### arXiv:1806.05156 [hep-th]AbstractReferencesReviewsResources

#### Laplacian spectrum on a nilmanifold, truncations and effective theories

Published 2018-06-13Version 1

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 swampland distance conjecture.

Related articles: Most relevant | Search more
arXiv:1812.07548 [hep-th] (Published 2018-12-18)
The Swampland Distance Conjecture for Kähler moduli
arXiv:1812.07558 [hep-th] (Published 2018-12-18)
Swampland Distance Conjecture, Inflation and $α$-attractors
arXiv:1305.0013 [hep-th] (Published 2013-04-30, updated 2014-04-28)
The $\mathcal{N}=1$ algebra $\mathcal{W}_\infty[μ]$ and its truncations