Generalized Killing equations for spinning spaces and the role of Killing-Yano tensors

被引:6
作者
Visinescu, M
机构
[1] Department of Theoretical Physics, Institute of Atomic Physics, Magurele, Bucharest
关键词
D O I
10.1016/S0920-5632(97)00319-8
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 generalized Killing equations for the configuration space of spinning particles (spinning space) are analysed. Solutions of these equations are expressed in terms of Killing-Yano tensors. The constants of motion can be seen as extensions of those from the scalar case or new ones depending on the Grassmann-valued spin variables. The general results are applied to the case of the four-dimensional Euclidean Taub-NUT spinning space.
引用
收藏
页码:142 / 147
页数:6
相关论文
共 16 条
[1]   O(4,2) DYNAMICAL SYMMETRY OF THE KALUZA-KLEIN MONOPOLE [J].
CORDANI, B ;
FEHER, G ;
HORVATHY, PA .
PHYSICS LETTERS B, 1988, 201 (04) :481-486
[2]   SPACE-TIMES ADMITTING KILLING-YANO TENSORS .1. [J].
DIETZ, W ;
RUDIGER, R .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1981, 375 (1762) :361-378
[3]  
FEHER LG, 1987, PHYS LETT B, V182, P183
[4]   SUSY IN THE SKY [J].
GIBBONS, GW ;
RIETDIJK, RH ;
VANHOLTEN, JW .
NUCLEAR PHYSICS B, 1993, 404 (1-2) :42-64
[5]   THE HIDDEN SYMMETRIES OF MULTI-CENTRE METRICS [J].
GIBBONS, GW ;
RUBACK, PJ .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 115 (02) :267-300
[6]   CLASSICAL AND QUANTUM DYNAMICS OF BPS MONOPOLES [J].
GIBBONS, GW ;
MANTON, NS .
NUCLEAR PHYSICS B, 1986, 274 (01) :183-224
[7]   THE HIDDEN SYMMETRIES OF TAUB-NUT AND MONOPOLE SCATTERING [J].
GIBBONS, GW ;
RUBACK, PJ .
PHYSICS LETTERS B, 1987, 188 (02) :226-230
[8]   GENERALIZED KILLING EQUATIONS AND THE SYMMETRIES OF SPINNING SPACE [J].
RIETDIJK, RH ;
VANHOLTEN, JW .
CLASSICAL AND QUANTUM GRAVITY, 1990, 7 (02) :247-255
[9]  
RIETDIJK RH, 1992, THESIS U AMSTERDAM
[10]  
RIETDIJK RH, 1993, CLASSICAL QUANT GRAV, V10, P375