The moduli spaces of S-fold CFTs

Abstract

An S-fold has played an important role in constructing supersymmetric field theories with interesting features. It can be viewed as a type of AdS_4 solutions of Type IIB string theory where the fields in overlapping patches are glued by elements of SL(2,Z). This paper examines three dimensional quiver theories that arise from brane configurations with an inclusion of the S-fold. An important feature of such a quiver is that it contains a link, which is the T(U(N)) theory, between two U(N) groups, along with bifundamental and fundamental hypermultiplets. We systematically study the moduli spaces of those quiver theories, including the cases in which the non-zero Chern-Simons levels are turned on. A number of such moduli spaces turns out to have a very rich structure and tells us about the brane dynamics in the presence of an S-fold.

arXiv comment67 pages and several figures and diagrams. Version 2: References added & accepted for publication in the JHEP

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• 3d dualities from 2d free field correlators: recombination and rank stabilization
• S-folds, String Junctions, and 4D $\mathcal{N}=2$ SCFTs
• Supersymmetric Indices of 3d S-fold SCFTs
• $\mathcal{N}=2$ supersymmetric S-folds
• Rethinking mirror symmetry as a local duality on fields
• Variations on S-fold CFTs
• Symmetry enhancement and duality walls in 5d gauge theories
• Marginal operators and supersymmetry enhancement in 3d $S$-fold SCFTs
• Marginal deformations and RG flows for type IIB S-folds
• Universal properties of Kaluza-Klein gravitons
• A non-unitary bulk-boundary correspondence: Non-unitary Haagerup RCFTs from S-fold SCFTs
• New N=1 AdS${}_4$ solutions of type IIB supergravity
• Monopoles and dualities in $3d$ $\mathcal{N}=2$ quivers
• Duality walls in the 4d N=2 SU(N) gauge theory with 2N flavours
• Geometric Approaches to Quantum Fields and Strings at Strong Couplings