Geometric engineering of N=1 quantum field theories

被引:102
作者
Katz, S [1 ]
Vafa, C [1 ]
机构
[1] HARVARD UNIV, LYMAN LAB PHYS, CAMBRIDGE, MA 02138 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0550-3213(97)00283-6
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We construct a local geometric model in terms of F- and M-theory compactification on Calabi-Yau 4-folds which lead to N = 1 Yang-Mills theory in d = 4 and its reduction on a circle to d = 3, We compute the superpotential in d = 3, as a function of radius, which is generated by the Euclidean 5-brane instantons. The superpotential turns out to be the same as the potential for affine Toda theories. In the limit of vanishing radius the affine Toda potential reduces to the Toda potential. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:196 / 204
页数:9
相关论文
共 37 条
[1]   INSTANTONS AND (SUPER-) SYMMETRY-BREAKING IN (2+1) DIMENSIONS [J].
AFFLECK, I ;
HARVEY, J ;
WITTEN, E .
NUCLEAR PHYSICS B, 1982, 206 (03) :413-439
[2]  
[Anonymous], 1978, Principles of algebraic geometry
[3]   ON ISOLATED RATIONAL SINGULARITIES OF SURFACES [J].
ARTIN, M .
AMERICAN JOURNAL OF MATHEMATICS, 1966, 88 (01) :129-&
[4]  
ASPINWALL P, HEPTH9602118
[5]   Enhanced gauge symmetries and Calabi-Yau threefolds [J].
Aspinwall, PS .
PHYSICS LETTERS B, 1996, 371 (3-4) :231-237
[6]   ENHANCED GAUGE SYMMETRIES AND K3 SURFACES [J].
ASPINWALL, PS .
PHYSICS LETTERS B, 1995, 357 (03) :329-334
[7]   D-branes and topological field theories [J].
Bershadsky, M ;
Vafa, C ;
Sadov, V .
NUCLEAR PHYSICS B, 1996, 463 (2-3) :420-434
[8]   D-strings on D-manifolds [J].
Bershadsky, M ;
Vafa, C ;
Sadov, V .
NUCLEAR PHYSICS B, 1996, 463 (2-3) :398-414
[9]   TOPOLOGICAL REDUCTION OF 4D SYM TO 2D SIGMA-MODELS [J].
BERSHADSKY, M ;
JOHANSEN, A ;
SADOV, V ;
VAFA, C .
NUCLEAR PHYSICS B, 1995, 448 (1-2) :166-186
[10]  
BERSHADSKY M, HEPTH9605200