Flat deformations of type IIB S-folds. (English) Zbl 1521.83199
Summary: Type IIB S-folds of the form \(\mathrm{AdS}_4 \times \mathrm{S}^1 \times \mathrm{S}^5\) have been shown to contain axion-like deformations parameterising flat directions in the 4D scalar potential and corresponding to marginal deformations of the dual S-fold CFT’s. In this note we present a group-theoretical characterisation of such flat deformations and provide a 5D interpretation thereof in terms of \(\mathfrak{so}(6)\)-valued duality twists inducing a class of Cremmer-Scherk-Schwarz flat gaugings in a reduction from 5D to 4D. In this manner we establish the existence of two flat deformations for the \(\mathcal{N} = 4\) and SO(4) symmetric S-fold causing a symmetry breaking down to its \(\mathrm{U}(1)^2\) Cartan subgroup. The result is a new two-parameter family of non-supersymmetric S-folds which are perturbatively stable at the lower-dimensional supergravity level, thus providing the first examples of such type IIB backgrounds.
MSC:
| 83E50 | Supergravity |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 83E05 | Geometrodynamics and the holographic principle |
| 83E30 | String and superstring theories in gravitational theory |
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