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arXiv · hep-th/9908146

Logarithmic Unification From Symmetries Enhanced in the Sub-Millimeter Infrared

Nima Arkani-Hamed·Savas Dimopoulos·John March-Russell
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Abstract

In theories with TeV string scale and sub-millimeter extra dimensions the attractive picture of logarithmic gauge coupling unification at $10^{16}$ GeV is seemingly destroyed. In this paper we argue to the contrary that logarithmic unification {\it can} occur in such theories. The rationale for unification is no longer that a gauge symmetry is restored at short distances, but rather that a geometric symmetry is restored at large distances in the bulk away from our 3-brane. The apparent `running' of the gauge couplings to energies far above the string scale actually arises from the logarithmic variation of classical fields in (sets of) two large transverse dimensions. We present a number of N=2 and N=1 supersymmetric D-brane constructions illustrating this picture for unification.

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Nima Arkani-Hamed, Savas Dimopoulos, John March-Russell. 1999-08-21. Logarithmic Unification From Symmetries Enhanced in the Sub-Millimeter Infrared. https://doi.org/10.1142/9789812793850_0032

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