TY - JOUR

T1 - Compactifications of F-theory on Calabi-Yau threefolds at constant coupling

AU - Ahn, Changhyun

AU - Nam, Soonkeon

PY - 1998/2/11

Y1 - 1998/2/11

N2 - 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 T6 by Zm × Zn(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).

AB - 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 T6 by Zm × Zn(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).

UR - http://www.scopus.com/inward/record.url?scp=0346206565&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(97)01477-9

DO - 10.1016/S0370-2693(97)01477-9

M3 - Article

AN - SCOPUS:0346206565

SN - 0370-2693

VL - 419

SP - 132

EP - 138

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-4

ER -