Comment on Yukawa couplings and cosmological problems of intersecting brane models

Abstract

In string theory, stabilization of moduli fields and their cosmological implications have been discussed by many authors. In this paper, we consider the relative positions of three intersecting branes. Surprisingly, there had been no phenomenological and cosmological argument on the mechanism that stabilizes the corresponding parameter. We show that the area of the triangle is not a free parameter. The effective potential is generated from loop corrections in the low energy effective Lagrangian, where supersymmetry is expected to be broken. The stabilization of the area of such triangles will determine the Yukawa couplings that have been considered as the free parameters of the intersecting brane models. The stabilization puts a constraint on the model, which is different from the other requirements that have been discussed before. We also discuss cosmological problems and then show an idea that may solve the problem.