Notes on super Killing tensors

被引:16
作者
Howe, P. S. [1 ]
Lindstrom, U. [2 ,3 ]
机构
[1] Kings Coll London, Dept Math, London WC2B 2LS, England
[2] Uppsala Univ, Dept Phys & Astron, Theoret Phys, SE-75120 Uppsala, Sweden
[3] Univ London Imperial Coll Sci Technol & Med, Theoret Phys, Prince Consort Rd, London SW7 2AZ, England
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2016年 / 03期
基金
瑞典研究理事会; 英国工程与自然科学研究理事会;
关键词
Extended Supersymmetry; Superspaces; Higher Spin Symmetry; GRADED LIE-ALGEBRAS; ISOTROPIC GEOMETRY; HIGHER DIMENSIONS; HIGHER SPINS; SUPERSYMMETRY; MULTIPLETS; TWISTORS; CLASSIFICATION; SUPERPARTICLES; CONSTRUCTION;
D O I
10.1007/JHEP03(2016)078
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
The notion of a Killing tensor is generalised to a superspace setting. Conserved quantities associated with these are defined for superparticles and Poisson brackets are used to define a supersymmetric version of the even Schouten-Nijenhuis bracket. Superconformal Killing tensors in flat superspaces are studied for spacetime dimensions 3,4,5,6 and 10. These tensors are also presented in analytic superspaces and super-twistor spaces for 3,4 and 6 dimensions. Algebraic structures associated with superconformal Killing tensors are also briefly discussed.
引用
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页数:38
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