D-type fiber-base duality

TL;DR

This paper explores D-type fiber-base duality in string theory, deriving Seiberg-Witten curves for little string theories and 6d SCFTs, and demonstrates their equivalence under fiber-base duality with D-type quiver gauge theories.

Contribution

It provides explicit Seiberg-Witten curves for D-type little string theories and 6d SCFTs, establishing their duality relations and connections to known models.

Findings

Seiberg-Witten curves for D-type little string theories derived

Mirror curves interpreted for corresponding Calabi-Yau manifolds

Curves for 6d SCFTs obtained via decompactification limits

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.