D-type fiber-base duality

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.

34 pages, 5 figures

References in corpus (4)

• 6d Conformal Matter
• Universal Features of BPS Strings in Six-dimensional SCFTs
• E + E $\to$ H
• Wilson surfaces in M5-branes

Cited by in corpus (12)

• Revisiting the classifications of 6d SCFTs and LSTs
• Blowup Equations for 6d SCFTs. I
• The Quantum DELL System
• M5 branes and Theta Functions
• Anyonic Defect Branes and Conformal Blocks in Twisted Equivariant Differential (TED) K-theory
• Elliptic Quantum Curves of 6d SO(N) theories
• Elliptic Quantum Curves of Class ${\mathcal{S}}_k$
• Surface defects on E-string from 5-brane webs
• Seiberg-Witten curves with O7${}^{\pm }$-planes
• $DE$-type little strings from glued brane webs
• D-type Minimal Conformal Matter: Quantum Curves, Elliptic Garnier Systems, and the 5d Descendants
• E-strings, $F_4$, and $D_4$ triality