Supersymmetry, supergravity theories and the dual spinor model

Finite soft terms in string compactifications with broken supersymmetry

“…Using the explicit representation of the matrices A α and B α given in [13], we have found a class of solutions where only one of each matrix Σ α and Σ ′ α as listed in (32) is taken to be non vanishing at a time. This corresponds then to solutions where only 2 of the 12 parameters are turned on at a time.…”

“…But the mass matrix calculated in (30), is always traceless ( which follows from the fact that A α and B β are off diagonal matrices [13] ), and so provides further explanation of why such cubics are absent. By contrast, the trace of the fermion mass matrix is not generally zero in the field theory case [8].…”

“…where in (13), Ω ′ B corresponds to the set of 6 orthogonal vectors Ω B defined earlier, but with the vectors ±(1, 0, 0, 0) excluded. It is useful to divide Ω ′ B into two parts so that…”

“…where the 6 matrices A δ AB and B δ AB are SU(2) × SU(2) generators, an explicit representation of which is given in [13]. In obtaining (30) we have used the representation of the d = 10 dirac algebra given in [13] and the properties…”

“…In obtaining (30) we have used the representation of the d = 10 dirac algebra given in [13] and the properties…”