A NOTE ON HOLONOMY GROUPS AND SIGMA-MODELS

被引：16

作者：

HOWE, PS

PAPADOPOULOS, G

机构：

[1] QMW,DEPT PHYS,LONDON E1 4NS,ENGLAND

[2] KINGS COLL LONDON,DEPT MATH,LONDON WC2R 2LS,ENGLAND

来源：

PHYSICS LETTERS B | 1991年 / 263卷 / 02期

关键词：

D O I：

10.1016/0370-2693(91)90591-D

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

It is shown that two-dimensional N = 1 supersymmetric sigma models with target spaces which are not symmetric spaces but which have irreducible holonomy groups are irreducible as field theories and are characterised by a set of (in general non-linear) symmetries.

引用

收藏

页码：230 / 232

页数：3

相关论文

共 15 条

[1] GEOMETRICAL STRUCTURE AND ULTRAVIOLET FINITENESS IN THE SUPERSYMMETRIC SIGMA-MODEL [J].

ALVAREZGAUME, L ;

FREEDMAN, DZ .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1981, 80 (03) :443-451

[2]

Berger M., 1955, B SOC MATH FRANCE, V83, P279

[3] METRICS WITH EXCEPTIONAL HOLONOMY [J].

BRYANT, RL .

ANNALS OF MATHEMATICS, 1987, 126 (03) :525-576

[4] NON-LINEAR SIGMA-MODELS WITH EXTENDED SUPERSYMMETRY IN 4 DIMENSIONS [J].

CURTRIGHT, TL ;

FREEDMAN, DZ .

PHYSICS LETTERS B, 1980, 90 (1-2) :71-74

[5] SUPERSYMMETRIC SIGMA-MODELS WITH NON-VANISHING NIJENHUIS TENSOR AND THEIR OPERATOR PRODUCT EXPANSION [J].

DELIUS, GW ;

ROCEK, M ;

SEVRIN, A ;

VANNIEUWENHUIZEN, P .

NUCLEAR PHYSICS B, 1989, 324 (02) :523-531

[6]

DERHAM G, 1952, COMMENT MATH HELV, V0026, P00328, DOI [10.1007/BF02564308, DOI 10.1007/BF02564308]

[7] RIGIDLY AND LOCALLY SUPERSYMMETRIC TWO-DIMENSIONAL NONLINEAR SIGMA-MODELS WITH TORSION [J].

DEWIT, B ;

VANNIEUWENHUIZEN, P .

NUCLEAR PHYSICS B, 1989, 312 (01) :58-94

[8] A SUPERSYMMETRIC WESS-ZUMINO LAGRANGIAN IN 2 DIMENSIONS [J].

DIVECCHIA, P ;

KNIZHNIK, VG ;

PETERSEN, JL ;

ROSSI, P .

NUCLEAR PHYSICS B, 1985, 253 (3-4) :701-726

[9] KAC-MOODY ALGEBRAS, CONFORMAL SYMMETRY AND CRITICAL EXPONENTS [J].

GODDARD, P ;

OLIVE, D .

NUCLEAR PHYSICS B, 1985, 257 (02) :226-252

[10] 4-LOOP BETA-FUNCTION FOR THE N=1 AND N=2 SUPERSYMMETRIC NONLINEAR SIGMA MODEL IN 2-DIMENSIONS [J].

GRISARU, MT ;

VANDEVEN, AEM ;

ZANON, D .

PHYSICS LETTERS B, 1986, 173 (04) :423-428