Galois groups of uplifted de Sitter vacua

Cesar Damian; Oscar Loaiza-Brito

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arXiv · 2307.08468

Galois groups of uplifted de Sitter vacua

Cesar Damian·Oscar Loaiza-Brito

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Abstract

We compute the Galois group of a polynomial whose roots are determined by the critical points of a scalar potential in type IIB compactifications. We focus our study on certain perturbative models where it is feasible to construct a de Sitter vacuum within the effective theory by introducing non-geometric fluxes, D-branes, or non-BPS states. Our findings clearly show that all de Sitter vacua derived from lifting AdS stable vacua are associated with an unsolvable Galois group. This suggests a deeper connection between the fundamental principles of Galois theory and its applications in the construction of dS vacua.

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Cesar Damian, Oscar Loaiza-Brito. 2023-07-17. Galois groups of uplifted de Sitter vacua. https://arxiv.org/abs/2307.08468

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