Self-Dual Point and Unification

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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12 pages, latex, no figures, final version to appear in Prog. Theor. Phys. Vol. 102 (1999) No. 4

Scientific paper

10.1143/PTP.102.833

We hypothesize that the vacuum is spontaneously shifted from the self-dual point in the moduli space, at which all dimensions are compact, and that the true vacuum results from the decompactification of the four space-time dimensions and remains in the vicinity of the self-dual point for extra dimensions. On the basis of our hypotheses we explore new types of the coupling unification which are not realized in the four-dimensional effective theory but in the framework of the higher dimensional theory. In the $SU(6) \times SU(2)_R$ string model, if the SU(6) gauge group lives in the world-volume of 9-branes and the $SU(2)_R$ in the world-volume of 5-branes, or {\it vice versa}, unification solutions can be found in the vicinity of the self-dual point.

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