The generalized curvature and Christoffel symbols for a higher spin potential in AdSd+1 space

被引：17
|
作者：
Manvelyan, Ruben [1 ,2 ]
Ruehl, Werner [1 ]
机构：
[1] Tech Univ Kaiserslautern, Dept Phys, D-67653 Kaiserslautern, Germany
[2] Yerevan Phys Inst, Yerevan 0036, Armenia
来源：
NUCLEAR PHYSICS B | 2008年 / 797卷 / 03期
关键词：
higher spin fields; curvature; Riemann tensor; affine structures; Cristoffel symbols;
D O I：
10.1016/j.nuclphysb.2007.10.012
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 curvature tensor and Christoffel symbols are determined in AdS(d+l) background by a modified ansatz of the de Wit-Freedman type by imposing gauge invariance. The resulting set of recurrence relations and difference equations is solved. The Riernann curvature tensor is derived by antisymnmetrization. All results are presented as finite power series in the inverse AdS radius and are unique. The fourth order, which is complete for fields up to spin five, is calculated explicitly. Higher orders can be obtained with the same method. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：371 / 394
页数：24
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