Plucker-type relations for orthogonal planes

被引：31

作者：

Figueroa-O'Farrill, J ^{[1
]}

Papadopoulos, G

机构：

[1] Univ Edinburgh, Sch Math, Edinburgh, Midlothian, Scotland

[2] Kings Coll London, Dept Math, London WC2R 2LS, England

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2004年 / 49卷 / 3-4期

基金：

英国工程与自然科学研究理事会;

关键词：

Plucker embeddings; metric n-Lie algebras; supersymmetry; IIB string theory;

D O I：

10.1016/S0393-0440(03)00093-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We explore a Plucker-type relation which occurs naturally in the study of maximally supersymmetric solutions of certain supergravity theories. This relation generalises at the same time the classical Plucker relation and the Jacobi identity for a metric Lie algebra and coincides with the Jacobi identity of a metric n-Lie algebra. In low dimension we present evidence for a geometric characterisation of the relation in terms of middle-dimensional orthogonal planes in Euclidean or Lorentzian inner product spaces. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：294 / 331

页数：38

共 13 条

[1]

BLAU M, 2002, J HIGH ENERGY PHYS, P247

[2]

BOUBEL C, 2000, THEIS U H POINCARE N

[3]

CHAMSEDDINE A, UNPUB VACUUM SOLUTIO

[4]

Eastwood M, 1999, REND CIRC MAT PALERM, V63, P85

[5]

FIGUEOAOFARRILL L, MAXIMAL SUPERSYMMTRY

[6]

FIGUEROAOFARRIL.J, MAXIMAL SUPERSYMMETR

[7] On the structure of symmetric self-dual Lie algebras [J].

FigueroaOFarrill, JM ;

Stanciu, S .

JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (08) :4121-4134

[8] NONSEMISIMPLE SUGAWARA CONSTRUCTION [J].

FIGUEROAOFARRILL, JM ;

STANCIU, S .

PHYSICS LETTERS B, 1994, 327 (1-2) :40-46

[9]

Filippov V.T, 1985, SIB MAT ZH, V26, P191

[10]

FILIPPOV VT, 1985, SIBERIAN MATH J+, V26, P879

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