A coset space compactification of the field theory limit of a heterotic string

Abstract

The D=10-E8*E8 field theory limit of the heterotic string is compactified on the non-symmetric coset space Sp(4)/SU(2)*U(1) that is known in the limit of decoupled gravity to give three standard fermion generations, with SU(5)*SU(3)F*U(1)F as a gauge group in D=4. Allowing for non-vanishing fermion bilinear condensates, and assuming the conventional form of the supersymmetry transformations, the authors prove the presence of a family of N=1 supersymmetric background field configurations. This requires the non-compact space to be flat: (Minkowski)4, while the 3-form HMNP is non-vanishing and proportional to the torsion on the internal manifold. All equations of motion, including that of the dilaton, are satisfied.