Global tensor-matter transitions in F-theory

TL;DR

This paper investigates gauge algebra preserving transitions in 6d supergravity theories via F-theory, focusing on how hyper- and tensor multiplet sectors change through tuning singularities and analyzing anomaly constraints and geometric examples.

Contribution

It provides a detailed analysis of superconformal point transitions in 6d F-theory models, including anomaly constraint implications and explicit geometric examples.

Findings

Transitions preserve gauge algebra but modify hyper- and tensor sectors.

Anomaly constraints fix non-Abelian representations and restrict Abelian charges.

Examples include transitions in torically resolved fibrations with non-flat fibers.

Abstract

We use F-theory to study gauge algebra preserving transitions of 6d supergravity theories that are connected by superconformal points. While the vector multiplets remain unchanged, the hyper- and tensor multiplet sectors are modified. In 6d F-theory models, these transitions are realized by tuning the intersection points of two curves, one of them carrying a non-Abelian gauge algebra, to a (4,6,12) singularity, followed by a resolution in the base. The six-dimensional supergravity anomaly constraints are strong enough to completely fix the possible non-Abelian representations and to restrict the Abelian charges in the hypermultiplet sector affected by the transition, as we demonstrate for all Lie algebras and their representations. Furthermore, we present several examples of such transitions in torically resolved fibrations. In these smooth models, superconformal points lead to non-flat fibers which correspond to non-toric K\"ahler deformations of the torus-fibered Calabi-Yau 3-fold geometry.