N=2, D=6 supergravity with E_7 gauge matter

TL;DR

This paper derives the Lagrangian for N=2, D=6 supergravity coupled with E_7 and SU(2) matter fields, constructing the scalar coset manifold and highlighting differences from previous models, as a step towards 4D E_6 unification.

Contribution

It provides the explicit form of the supergravity Lagrangian with E_7 and SU(2) matter and constructs the relevant scalar coset manifold, advancing the understanding of supergravity compactifications.

Findings

Derived the supergravity Lagrangian with E_7 and SU(2) matter

Constructed the coset manifold E_8/E_7 X SU(2)

Identified differences from Sp(n)-matter models

Abstract

The lagrangian of N=2, D=6 supergravity coupled to E_7 X SU(2) vector- and hyper-multiplets is derived. For this purpose the coset manifold E_8/E_7 X SU(2), parametrized by the scalars of the hypermultiplet, is constructed. A difference from the case of Sp(n)-matter is pointed out. This model can be considered as an intermediate step in the compactification of D=10 supergravity coupled to E_8 X E_8 matter to four-dimensional model of E_6 unification.