标题： 四维N=1型I真空的十二维方面 显示英文标题

标题： Twelve-Dimensional Aspects of Four-Dimensional N=1 Type I Vacua

摘要： 四维超引力理论被重新诠释为一个十二维F-理论框架中的理论。 N=8超引力的O(8)对称性与F-理论在T_8上的约化有关，其中七十个标量通过O(8)三重性正式关联到完全紧致化的四形式A_4。 对于最近从Z orbifold上的IIB弦理论得到的N=1型I模型，我们将无取向闭合扇区中未扭曲标量的Kähler流形识别为广义Siegel上半平面Sp(8,R)/(SU(4) \times U(1))。 SU(4)因子反映了Calabi-Yau四折的holonomy群。 显示英文摘要

摘要： Four-dimensional supergravity theories are reinterpreted in a 12-dimensional F-theory framework. The O(8) symmetry of N=8 supergravity is related to a reduction of F-theory on T_8, with the seventy scalars formally associated, by O(8) triality, to a fully compactified four-form A_4. For the N=1 type I model recently obtained from the type IIB string on the Z orbifold, we identify the K\"ahler manifold of the untwisted scalars in the unoriented closed sector with the generalized Siegel upper-half plane Sp(8,R)/(SU(4) \times U(1)). The SU(4) factor reflects the holonomy group of Calabi-Yau fourfolds.