HOLONOMY GROUPS AND W-SYMMETRIES

被引：48

作者：

HOWE, PS ^{[1
]}

PAPADOPOULOS, G ^{[1
]}

机构：

[1] QUEEN MARY & WESTFIELD COLL,DEPT PHYS,LONDON E1 4NS,ENGLAND

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1993年 / 151卷 / 03期

关键词：

D O I：

10.1007/BF02097022

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Irreducible sigma models, i.e. those for which the partition function does not factorise, are defined on Riemannian spaces with irreducible holonomy groups. These special geometries are characterised by the existence of covariantly constant forms which in turn give rise to symmetries of the supersymmetric sigma model actions. The Poisson bracket algebra of the corresponding currents is a W-algebra. Extended supersymmetries arise as special cases.

引用

页码：467 / 479

页数：13

共 29 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] MATTER COUPLINGS IN N=2 SUPERGRAVITY [J].

BAGGER, J ;

WITTEN, E .

NUCLEAR PHYSICS B, 1983, 222 (01) :1-10

[3]

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

[4]

BRYANT RL, 1987, ANN MATH, V129, P595

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

CURTRIGHT, TL ;

FREEDMAN, DZ .

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

[6]

DELIUS GW, 1989, STRINGS 89

[7]

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

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

DEWIT, B ;

VANNIEUWENHUIZEN, P .

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

[9] 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

[10]

Frolicher A., 1956, PROC KON NED AKAD, V59, P338

← 1 2 3 →