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D-type fiber-base duality

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arxiv 1806.10335 v1 pith:G2EML7T6 submitted 2018-06-27 hep-th

classification hep-th
keywords curvesd-typetheoriescalabi-yaudualityfiber-baseflavorknown
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

M5 branes probing D-type singularities give rise to 6d (1,0) SCFTs with $SO \times SO$ flavor symmetry known as D-type conformal matter theories. Gauging the diagonal $SO$-flavor symmetry leads to a little string theory with an intrinsic scale which can be engineered in F-theory by compactifying on a doubly-elliptic Calabi-Yau manifold. We derive Seiberg-Witten curves for these little string theories which can be interpreted as mirror curves for the corresponding Calabi-Yau manifolds. Under fiber-base duality these models are mapped to D-type quiver gauge theories and we check that their Seiberg-Witten curves match. By taking decompactification limits, we construct the curves for the related 6d SCFTs and connect to known results in the literature by further taking 5d and 4d limits.

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Cited by 1 Pith paper

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  1. Surface Defects in $A$-type Little String Theories

    hep-th 2024-12 conditional novelty 6.0 of 10

    The authors give a combinatorial partition function for A-type little string theories with a full-type surface defect and argue that two NS-limit regularizations are both regular due to a recursive pole-cancellation identity.

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