2-point 2-loop graph with arbitrary self-energy insertions
This paper has been withdrawn by the author, since most of the results have been published before.
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Publications and source records attributed to Konstantin Zyablyuk.
This paper has been withdrawn by the author, since most of the results have been published before.
We consider the compactification of N=1, D=10 supergravity with E_8 x E_8 Yang-Mills matter to N=1, D=4 model with 3 generations. With help of embedding SU(5)->SO(10)->E_6->E_8 we find the value of the top Yukawa coupling $λ_t=\sqrt{16πα_{GUT}/3}$ at the GUT scale.
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.