Abstract
We construct non-geometric AdS4 solutions of IIB string theory where the fields in overlapping patches are glued by elements of the S-duality group. We obtain them by suitable quotients of compact and non-compact geometric solutions. The quotient procedure suggests CFT duals as quiver theories with links involving the so-called T [U(N)] theory. We test the validity of the non-geometric solutions (and of our proposed holographic duality) by computing the three-sphere partition function Z of the CFTs. A first class of solutions is obtained by an S-duality quotient of Janus-type non-compact solutions and is dual to 3d mathcal{N}=4 SCFTs; for these we manage to compute Z of the dual CFT at finite N, and it agrees perfectly with the supergravity result in the large N limit. A second class has five-branes, it is obtained by a Möbius-like S-quotient of ordinary compact solutions and is dual to 3d mathcal{N}=3 SCFTs. For these, Z agrees with the supergravity result if one chooses the limit carefully so that the effect of the fivebranes does not backreact on the entire geometry. Other limits suggest the existence of IIA duals.
Highlights
In this case the path is non-contractible, and there is no singularity
We test the validity of the non-geometric solutions by computing the three-sphere partition function Z of the CFTs
If the monodromy is over a non-contractible path, one can overcome this problem by taking the path long enough that all fields vary slowly; in this “long-wavelength” approximation, one expects that the two-derivative action, which is uniquely determined by supersymmetry, should suffice
Summary
The 10d type IIB supergravity solutions that we construct in this paper are obtained by a certain S-folding procedure applied to a class of solutions whose local form was found in [9, 10]. These solutions describe an AdS4×S2×S2×Σ geometry, where Σ is a Riemann surface, which admit 16 Killing spinors and are dual to SCFTs with 3d N = 4 supersymmetry. We construct supergravity solutions by S-folding a special Janus solution, we propose a holographic dual 3d N = 4 SCFT and perform a non-trivial test of the holographic duality. The simplest S-fold supergravity solutions that we find reproduce solutions described in [11]
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
