Non-perturbative scalar potential inspired by type IIA strings on rigid CY

Sergey Alexandrov (1) , Sergei V. Ketov (2) , Yuki Wakimoto (2)

1 L2C - Laboratoire Charles Coulomb
2 TMU - Tokyo Metropolitan University [Tokyo]

Motivated by a class of flux compactifications of type IIA strings on rigid Calabi-Yau manifolds, preserving N=2 local supersymmetry in four dimensions, we derive a non-perturbative potential of all scalar fields from the exact D-instanton corrected metric on the hypermultiplet moduli space. Applying this potential to moduli stabilization, we find a discrete set of exact vacua for axions. At these critical points, the stability problem is decoupled into two subspaces spanned by the axions and the other fields (dilaton and Kähler moduli), respectively. Whereas the stability of the axions is easily achieved, numerical analysis shows instabilities in the second subspace.

Mots clés: Flux compactifications; Nonperturbative Effects; Superstring Vacua

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Sergey Alexandrov, Sergei V. Ketov, Yuki Wakimoto. Non-perturbative scalar potential inspired by type IIA strings on rigid CY. Journal of High Energy Physics, 2016, pp.2016: 66. ⟨10.1007/JHEP11(2016)066⟩. ⟨hal-01348152⟩