Six-Dimensional Jordan Supergravity Models

TL;DR

This paper explores six-dimensional supergravity models linked to Jordan algebras, extending known classifications and examining their connections to F-theory, with a focus on anomaly cancellation and gauge group structures.

Contribution

It extends the classification of six-dimensional supergravity models to include those related to Minkowskian Jordan algebras, broadening the understanding of their structure and origins.

Findings

Identification of six-dimensional models for infinite families of five-dimensional theories.

Constraints on models from anomaly cancellation conditions.

Connections established between supergravity models and F-theory constructions.

Abstract

In the context of six-dimensional supergravity there is a special class of parent models for five-dimensional theories defined by the four Euclidean simple Jordan algebras of degree 3. We extend this result to include six- dimensional parent models for three infinite families of five-dimensional theories defined by Minkowskian Jordan algebras. Connections of the six-dimensional models to F-theory constructions are constrained by anomaly cancellation conditions and the structure of the six-dimensional theory gauge group.