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F-theory and AdS_3/CFT_2

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arxiv 1705.04679 v2 pith:NNWWLA5Z submitted 2017-05-12 hep-th

classification hep-th
keywords f-theorytheorycentralchargescurvesd3-branesdualfield
verification ladder T0 review T1 audit T2 compute T3 formal
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We construct supersymmetric AdS_3 solutions in F-theory, that is Type IIB supergravity with varying axio-dilaton, which are holographically dual to 2d N=(0,4) superconformal field theories with small superconformal algebra. In F-theory these arise from D3-branes wrapped on curves in the base of an elliptically fibered Calabi-Yau threefold Y_3 and correspond to strings in the 6d N=(1,0) theory obtained from F-theory on Y_3. The non-trivial fibration over the wrapped curves implies a varying coupling of the N=4 Super-Yang-Mills theory on the D3-branes. We compute the holographic central charges and show that these agree with the field theory and with the anomalies of self-dual strings in 6d. We complement our analysis with a discussion of the dual M-theory solutions and a comparison of the central charges.

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Cited by 2 Pith papers

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  1. Revisiting the Quantum Geometry of Torus-fibered Calabi-Yau Threefolds

    hep-th 2025-10 conditional novelty 7.0 of 10

    The conjectured Jacobi modularity of topological string amplitudes on torus-fibered Calabi-Yau threefolds is derived conditionally from the wave-function property under the relative conifold monodromy, which also maps...

  2. AdS$_3$ solutions in Massive IIA with small $\mathcal{N}=(4,0)$ supersymmetry

    hep-th 2019-08 conditional novelty 7.0 of 10

    Two new classes of AdS3 x S2 solutions in massive IIA with small N=(4,0) supersymmetry are derived, along with their T-dual IIB counterparts.

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