SYMMETRIES OF DUAL-QUATERNIONIC MANIFOLDS

被引：38

作者：

DEWIT, B ^{[1
]}

VANPROEYEN, A ^{[1
]}

机构：

[1] CERN,DIV THEORY,CH-1211 GENEVA 23,SWITZERLAND

来源：

PHYSICS LETTERS B | 1990年 / 252卷 / 02期

关键词：

D O I：

10.1016/0370-2693(90)90864-3

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Classical superstring vacua corresponding to c = 9, N = (2,2) superconformal theories lead to Kahler or quaternionic nonlinear sigma models that are characterized in terms of a holomorphic homogeneous function of second degree. The Kahler manifolds may be invariant under the generalized duality invariances known from supergravity. Here we study the symmetry structure of the corresponding quaternionic manifolds, which have a symmetry group that is considerably larger. It turns out that the symmetry structure is encoded in a single function invariant under duality transformations. We discuss a number of examples and exhibit the existence of new symmetries.

引用

页码：221 / 229

页数：9

共 19 条

[1]

Alekseevsky D.V., 1975, MATH USSR IZV, V9, P297

[2] GAUGING N=2 SIGMA-MODELS IN HARMONIC SUPERSPACE [J].