Ref HAL: hal-04572367_v1
Ref Arxiv: 2405.04584
Ref. & Cit.: NASA ADS
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Résumé:

We propose to use the winding number of the gradient of a scalar potential as a simple topological index that relates critical points in the interior of the scalar field space to the behavior of the potential at the (asymptotic) boundary of the field space. We demonstrate this technique for supersymmetric flux compactifications of M-theory on Calabi-Yau four-folds, and use the Fermat sextic as a simple, one-parameter example.

Commentaires: 43 pages, 3 figures