Global Properties of the Conformal Manifold for S-Fold Backgrounds

Alfredo Giambrone; Emanuel Malek; Henning Samtleben; Mario Trigiante

doi:10.1007/JHEP06(2021)111

paper

Global Properties of the Conformal Manifold for S-Fold Backgrounds

arXiv:2103.10797 · doi:10.1007/JHEP06(2021)111

Abstract

We study a one-parameter family of $N = 2$ anti-de Sitter vacua with $U (1)^{2}$ symmetry of gauged four-dimensional maximal supergravity, with dyonic gauge group $[SO (6) \times SO (1, 1)] ⋉ R^{12}$ . These backgrounds are known to correspond to Type IIB S-fold solutions with internal manifold of topology $S^{1} \times S^{5}$ . The family of AdS $_{4}$ vacua is parametrized by a modulus $χ$ . Although $χ$ appears non-compact in the four-dimensional supergravity, we show that this is just an artefact of the four-dimensional description. We give the 10-dimensional geometric interpretation of the modulus and show that it actually has periodicity of $\frac{2 π}{T}$ , which is the inverse radius of $S^{1}$ . We deduce this by providing the explicit $D = 10$ uplift of the family of vacua as well as computing the entire modulus-dependent Kaluza-Klein spectrum as a function of $χ$ . At the special values $χ = 0$ and $χ = \frac{π}{T}$ , the symmetry enhances according to $U (1)^{2} \to U (2)$ , giving rise however to inequivalent Kaluza-Klein spectra. At $χ = \frac{π}{T}$ , this realizes a bosonic version of the "space invaders" scenario with additional massless vector fields arising from formerly massive fields at higher Kaluza-Klein levels.

arXiv comment33 pages, 1 figure, subsections 4.2.1 and 5.4.1 added in which the symmetry properties of the spectrum with respect to the chi parameter is discussed in detail; typos corrected

Global Properties of the Conformal Manifold for S-Fold Backgrounds

Abstract

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