Supersymmetry breaking with vanishing cosmological constant in string theory

Mathematics – Logic

Scientific paper

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Broken Symmetry, Cosmology, String Theory, Supersymmetry, Analytic Functions, Vacuum, Supergravity, Supersymmetry, Spontaneous And Radiative Symmetry Breaking

Scientific paper

It is shown that, for the effective four-dimensional N = 1 supergravity governing string theory around a large class of vacua, the scalar potential is the sum of nonnegative terms even in the presence of supersymmetry breaking. It is therefore naturally minimized with vanishing cosmological constant. This result relies only on generic features of these vacua that have been proven for string tree level and at all orders in sigma-model perturbation theory, but appear to apply more generally, for example, holding exactly in the sigma-modle perturbation theory, but appear to apply more generally, for example, holding exactly in the sigma-model couplings for (0,2) Z(N) orbifold models of rank 16.

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