Abstract
We construct a continuous one parameter family of AdS4× S1× S5 S-fold solutions of type IIB string theory which have nontrivial SL(2, ℤ) monodromy in the S1 direction. The solutions span a subset of a conformal manifold that contains the known mathcal{N} = 4 S-fold SCFT in d = 3, and generically preserve mathcal{N} = 2 supersymmetry. We also construct RG flows across dimensions, from AdS5× S5, dual to mathcal{N} = 4, d = 4 SYM compactified with a twisted spatial circle, to various AdS4×S1×S5 S-fold solutions, dual to d = 3 SCFTs. We construct additional flows between the AdS5 dual of the Leigh-Strassler SCFT and an mathcal{N} = 2 S-fold as well as RG flows between various S-folds.
Highlights
With the exception of the N = 4 S-fold, the dual field theories have not yet been identified making this an especially interesting topic for further study
For other choices of M ∈ SL(2, Z) used in the S-folding, it was conjectured that the dual N = 4 d = 3 SCFTs can be obtained as the IR limit of a class of circular quiver gauge theories with links coupled to the T [U(N ))] theory
We will construct a host of additional RG flow solutions that start in a similar manner from AdS5 × S5 in the UV and flow to S-fold solutions preserving N = 2 and N = 1 supersymmetry in the IR
Summary
The gravitational model we study couples the D = 5 metric with ten scalar fields [25]. It is a consistent truncation of maximal D = 5 gauged supergravity and any solution can be uplifted to obtain an exact solution of type IIB supergravity in D = 10, as described. The conditions for a solution of the 10-scalar model to preserve supersymmetry as a solution of D = 5 SO(6) gauged supergravity were written down in [25] and used in [35]. We will use exactly the same conventions here Note that these supersymmetry conditions are preserved under the Z2 × S4 discrete symmetry mentioned above.
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