Compactifications of F-Theory on Calabi-Yau Threefolds at Constant Coupli ng

Details Compactifications of F-Theory on Calabi-Yau Threefolds at Constant Coupli ng Compactifications of F-Theory on Calabi-Yau Threefolds at Constant Coupli ng

1997-01-24

arxiv.org/abs/hep-th/9701129v2

Phys.Lett.B419:132-138,1998

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex, no figures, 1 table, some error in the original version corrected

Scientific paper

10.1016/S0370-2693(97)01477-9

Generalizing the work of Sen, we analyze special points in the moduli space of the compactification of the F-theory on elliptically fibered Calabi-Yau threefolds where the coupling remains constant. These contain points where they can be realized as orbifolds of six torus $T^6$ by $Z_m \times Z_n (m, n=2, 3, 4, 6)$. At various types of intersection points of singularities, we find that the enhancement of gauge symmetries arises from the intersection of two kinds of singularities. We also argue that when we take the Hirzebruch surface as a base for the Calabi- Yau threefold, the condition for constant coupling corresponds to the case where the point like instantons coalesce, giving rise to enhanced gauge group of $Sp(k)$.

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