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Register a new userA new family of $AdS_4$ S-folds in type IIB string theory
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We construct infinite new classes of $AdS_4times S^1times S^5$ solutions of type IIB string theory which have non-trivial $SL(2,mathbb{Z})$ monodromy along the $S^1$ direction. The solutions are supersymmetric and holographically dual, generically, to $mathcal{N}=1$ SCFTs in $d=3$. The solutions are first constructed as $AdS_4times mathbb{R}$ solutions in $D=5$ $SO(6)$ gauged supergravity and then uplifted to $D=10$. Unlike the known $AdS_4times mathbb{R}$ S-fold solutions, there is no continuous symmetry associated with the $mathbb{R}$ direction. The solutions all arise as limiting cases of Janus solutions of $d=4$, $mathcal{N}=4$ SYM theory which are supported both by a different value of the coupling constant on either side of the interface, as well as by fermion and boson mass deformations. As special cases, the construction recovers three known S-fold constructions, preserving $mathcal{N}=1,2$ and 4 supersymmetry, as well as a recently constructed $mathcal{N}=1$ $AdS_4times S^1times S^5$ solution (not S-folded). We also present some novel one-sided Janus solutions that are non-singular.
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We construct a continuous one parameter family of $AdS_4times S^1times S^5$ S-fold solutions of type IIB string theory which have nontrivial $SL(2,mathbb{Z})$ monodromy in the $S^1$ 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 $AdS_5times S^5$, dual to $mathcal{N}=4$, $d=4$ SYM compactified with a twisted spatial circle, to various $AdS_4times S^1times S^5$ S-fold solutions, dual to $d=3$ SCFTs. We construct additional flows between the $AdS_5$ dual of the Leigh-Strassler SCFT and an $mathcal{N}=2$ S-fold as well as RG flows between various S-folds.
We obtain constraints from black hole superradiance in an ensemble of compactifications of type IIB string theory. The constraints require knowing only the axion masses and self-interactions, and are insensitive to the cosmological model. We study more than $2 cdot 10^5$ Calabi-Yau manifolds with Hodge numbers $1leq h^{1,1}leq 491$ and compute the axion spectrum at two reference points in moduli space for each geometry. Our computation of the classical theory is explicit, while for the instanton-generated axion potential we use a conservative model. The measured properties of astrophysical black holes exclude parts of our dataset. At the point in moduli space corresponding to the tip of the stretched K{a}hler cone, we exclude $approx 50%$ of manifolds in our sample at 95% C.L., while further inside the K{a}hler cone, at an extremal point for realising the Standard Model, we exclude a maximum of $approx 7%$ of manifolds at $h^{1,1}=11$, falling to nearly zero by $h^{1,1}=100$.
We propose a mechanism for the natural inflation with and without modulation in the framework of type IIB string theory on toroidal orientifold or orbifold. We explicitly construct the stabilization potential of complex structure, dilaton and Kahler moduli, where one of the imaginary component of complex structure moduli becomes light which is identified as the inflaton. The inflaton potential is generated by the gaugino-condensation term which receives the one-loop threshold corrections determined by the field value of complex structure moduli and the axion decay constant of inflaton is enhanced by the inverse of one-loop factor. We also find the threshold corrections can also induce the modulations to the original scalar potential for the natural inflation. Depending on these modulations, we can predict several sizes of tensor-to-scalar ratio as well as the other cosmological observables reported by WMAP, Planck and/or BICEP2 collaborations.
We develop sequestered inflation models, where inflation occurs along flat directions in supergravity models derived from type IIB string theory. It is compactified on a ${mathbb{T}^6 over mathbb{Z}_2 times mathbb{Z}_2}$ orientifold with generalized fluxes and O3/O7-planes. At Step I, we use flux potentials which 1) satisfy tadpole cancellation conditions and 2) have supersymmetric Minkowski vacua with flat direction(s). The 7 moduli are split into heavy and massless Goldstone multiplets. At Step II we add a nilpotent multiplet and uplift the flat direction(s) of the type IIB string theory to phenomenological inflationary plateau potentials: $alpha$-attractors with 7 discrete values $3alpha = 1, 2, 3, ..., 7$. Their cosmological predictions are determined by the hyperbolic geometry inherited from string theory. The masses of the heavy fields and the volume of the extra dimensions change during inflation, but this does not affect the inflationary dynamics.
We study the probability distribution P(Lambda) of the cosmological constant Lambda in a specific set of KKLT type models of supersymmetric IIB vacua. We show that, as we sweep through the quantized flux values in this flux compactification, P(Lambda) behaves divergent at Lambda =0^- and the median magnitude of Lambda drops exponentially as the number of complex structure moduli h^{2,1} increases. Also, owing to the hierarchical and approximate no-scale structure, the probability of having a positive Hessian (mass squared matrix) approaches unity as h^{2,1} increases.
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