F-theory and AdS_3/CFT_2 (2,0)

Abstract

We continue to develop the program initiated in arXiv:1705.04679 of studying supersymmetric AdS_3 solutions of F-theory and their holographic dual 2d superconformal field theories, which are dimensional reductions of 4d theories with varying coupling. Imposing 2d N=(0,2) supersymmetry, we derive the general conditions on the geometry for Type IIB AdS_3 solutions with varying axio-dilaton and five-form flux. We discuss a class of solutions, which extend AdS_3 x T^2 x M_5 Type IIB backgrounds, to F-theory geometries of the type AdS_3 x K3 x M_5 with varying axio-dilaton characterizing the elliptic fiber of the K3, and describe their dual field theories. For a specific choice of M_5 this corresponds to a family of solutions that are conjectured to be dual to twisted compactifications of 4d N=1 Y^{p,q} quiver gauge theories on a curve with varying coupling. For this setup, we compare the central charges from holography and field theory and find agreement to subleading order in N. Requiring enhanced 2d N=(2,2) supersymmetry we find that the axio-dilaton must be constant. However, if the internal geometry is allowed to be non-compact, we obtain the most general class of Type IIB AdS_5 solutions with varying axio-dilaton, i.e. F-theoretic solutions, that are dual to 4d N=1 SCFTs.

110 pages. v2: Significant additional results added: two new classes of F-theory solutions with (0,2) supersymmetry included and compared with dual field theories

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Cited by in corpus (36)

• AdS${}_3$ solutions in Massive IIA with small $\mathcal{N}=(4,0)$ supersymmetry
• A geometric dual of $c$-extremization
• F-theory and Dark Energy
• 1/4 BPS AdS${}_3$/CFT${}_2$
• 4d $\mathcal{N}=2$ S-folds
• Type II Solutions on AdS${}_3\times S^3\times S^3$ with Large Superconformal Symmetry
• Geometry of $\mathcal{I}$-extremization and black holes microstates
• $\mathcal{N}=(2,2)$ AdS${}_3$ from D3-branes wrapped on Riemann surfaces
• Toric geometry and the dual of $c$-extremization
• Searching for surface defect CFTs within AdS${}_3$
• Proving the equivalence of $c$-extremization and its gravitational dual for all toric quivers
• AdS${}_2$ duals to ADHM quivers with Wilson lines
• Anomaly Inflow Methods for SCFT Constructions in Type IIB
• All $\mathcal{N}=(8,0)$ AdS${}_3$ solutions in 10 and 11 dimensions
• AdS${}_3$ solutions with $\mathcal{N}=(3,0)$ from S${}^3\times$S${}^3$ fibrations
• Supersymmetric Indices of 3d S-fold SCFTs
• On supersymmetric AdS${}_3$ solutions of Type II
• A massive class of $\mathcal{N}=2$ AdS${}_4$ IIA solutions
• On AdS${}_3$ solutions of Type IIB
• The moduli spaces of S-fold CFTs
• New AdS${}_2$ supergravity duals of 4d SCFTs with defects
• Twisted $\mathcal{N}=1$ SCFTs and their AdS${}_3$ duals
• The Holographic Landscape of Symmetric Product Orbifolds
• Variations on S-fold CFTs
• $\mathcal{N}=(1,1)$ supersymmetric AdS${}_3$ in 10 dimensions
• Four-dimensional black hole entropy from F-theory
• On Type IIA AdS${}_3$ solutions and massive GK geometries
• $\mathcal{I}$/$c$-Extremization in M/F-Duality
• AdS${}_3\times$ S${}^2$ in IIB with small $\mathcal{N}=(4,0)$ supersymmetry
• Siegel Paramodular Forms and Sparseness in AdS${}_3$/CFT${}_2$
• The Near-Horizon Geometry of Supersymmetric Rotating AdS${}_4$ Black Holes in M-theory
• Quantum Corrections to Central Charges and Supersymmetric Casimir Energy in AdS${}_3$/CFT${}_2$
• $N=(2,0)$ AdS${}_3$ Solutions of M-theory
• New IIB intersecting brane solutions yielding supersymmetric AdS${}_3$ vacua
• A new family of $Ad{S}_4$ S-folds in type IIB string theory
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries