A nonperturbative superpotential with E(8)-symmetry

被引:56
作者
Donagi, R [1 ]
Grassi, A [1 ]
Witten, E [1 ]
机构
[1] INST ADV STUDY,SCH NAT SCI,PRINCETON,NJ 08540
关键词
D O I
10.1142/S0217732396002198
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We compute the nonperturbative superpotential in F-theory compactification to four dimensions on a complex threefold P-1 x S, where S is a rational elliptic surface. In contrast to examples considered previously, the superpotential in this case has interesting modular properties; it is essentially an E(8) theta function.
引用
收藏
页码:2199 / 2211
页数:13
相关论文
共 11 条
[1]  
DEMAZURE M, SPRINGER LNM, V777
[2]   MODULAR INVARIANCE IN SUPERSYMMETRIC FIELD-THEORIES [J].
FERRARA, S ;
LUST, D ;
SHAPERE, A ;
THEISEN, S .
PHYSICS LETTERS B, 1989, 225 (04) :363-366
[3]   STRONG WEAK-COUPLING DUALITY AND NONPERTURBATIVE EFFECTS IN STRING THEORY [J].
FONT, A ;
IBANEZ, LE ;
LUST, D ;
QUEVEDO, F .
PHYSICS LETTERS B, 1990, 249 (01) :35-43
[4]  
GANOR OJ, HEPTH9607020
[5]  
Hartshorne R., 1977, ALGEBRAIC GEOM
[6]  
Kawamata Y., 1987, ADV STUDIES PURE MAT, V10, P283
[7]  
MIYAOKA Y, 1985, ADV STUD PURE MATH, V10, P449
[8]  
MORRISON D, HEPTH9603161
[9]  
MUMFORD D, TATA LECTURES THETA, V3
[10]  
VAFA C, HEPTH9510093