N=2, D=6 supergravity with E7 gauge matter
Abstract
The lagrangian of N=2, D=6 supergravity coupled to E7 X SU(2) vector- and hyper-multiplets is derived. For this purpose the coset manifold E8/E7 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 E8 X E8 matter to four-dimensional model of E6 unification.
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