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arXiv · 2105.05229

On the squashed seven-sphere operator spectrum

Simon Ekhammar·Bengt E. W. Nilsson
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Abstract

We derive major parts of the eigenvalue spectrum of the operators on the squashed seven-sphere that appear in the compactification of eleven-dimensional supergravity. These spectra determine the mass spectrum of the fields in $AdS_4$ and are important for the corresponding ${\mathcal N} =1$ supermultiplet structure. This work is a continuation of the work in [1] where the complete spectrum of irreducible isometry representations of the fields in $AdS_4$ was derived for this compactification. Some comments are also made concerning the $G_2$ holonomy and its implications on the structure of the operator equations on the squashed seven-sphere.

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Simon Ekhammar, Bengt E. W. Nilsson. 2021-05-11. On the squashed seven-sphere operator spectrum. https://doi.org/10.1007/jhep12(2021)057

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