CONNECTION BETWEEN SPACE-TIME SUPERSYMMETRY AND NONCOMMUTATIVE GEOMETRY

被引:21
作者
CHAMSEDDINE, AH
机构
[1] Theoretische Physik, ETH
关键词
D O I
10.1016/0370-2693(94)91264-5
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We show that N = 2 and N = 4 extended supersymmetric Yang-Mills theories in four space-time dimensions could be derived as action functionals for non-commutative spaces. The coupling of N = 1 and N = 2 super Yang-Mills to N = 1 and N = 2 matter could be derived as action functionals of non-commutative spaces only for a restricted class of models where a general superpotential is not allowed.
引用
收藏
页码:349 / 357
页数:9
相关论文
共 23 条
[1]  
BAGGER J, 1983, SUPERSYMMETRY SUPERG
[2]   SUPERSYMMETRIC YANG-MILLS THEORIES [J].
BRINK, L ;
SCHWARZ, JH ;
SCHERK, J .
NUCLEAR PHYSICS B, 1977, 121 (01) :77-92
[3]   GRAND UNIFICATION IN NONCOMMUTATIVE GEOMETRY [J].
CHAMSEDDINE, AH ;
FELDER, G ;
FROHLICH, J .
NUCLEAR PHYSICS B, 1993, 395 (03) :672-698
[4]   GRAVITY IN NONCOMMUTATIVE GEOMETRY [J].
CHAMSEDDINE, AH ;
FELDER, G ;
FROHLICH, J .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 155 (01) :205-217
[5]  
CHAMSEDDINE AH, 1993, PHYS LETT B, V296, P109
[6]  
Connes A., 1991, Nuclear Physics B, Proceedings Supplements, V18B, P29, DOI 10.1016/0920-5632(91)90120-4
[7]  
CONNES A, 1983, PUBL MATH IHES, V62, P44
[8]  
CONNES A, 1992, 1991 P CARG SUMM C
[9]  
Connes A., 1993, NONCOMMUTATIVE GEOME
[10]   NONCOMMUTATIVE GEOMETRY AND GRADED ALGEBRAS IN ELECTROWEAK INTERACTIONS [J].
COQUEREAUX, R ;
ESPOSITOFARESE, G ;
SCHECK, F .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1992, 7 (26) :6555-6593