Six-Dimensional Jordan Supergravity Models

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.

Based on talk given at StringMath 2011, Philadelphia, PA, 8 pages, no figures

References in corpus (5)

• Global aspects of the space of 6D N = 1 supergravities
• Mapping 6D N = 1 supergravities to F-theory
• A bound on 6D N=1 supergravities
• On the Magical Supergravities in Six Dimensions
• CY Manifolds with Locally Symmetric Moduli Spaces