N=4 superconformal mechanics and the potential structure of AdS spaces

被引：34
作者：
Donets, EE [1 ]
Pashnev, A
Rivelles, VO
Sorokin, D
Tsulaia, M
机构：
[1] Joint Inst Nucl Res, Lab High Energies, Dubna 141980, Russia
[2] Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Russia
[3] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo, Brazil
[4] Univ Padua, Dipartimento Fis Galileo Galilei, I-35131 Padua, Italy
[5] Ist Nazl Fis Nucl, Sez Padova, I-35131 Padua, Italy
来源：
PHYSICS LETTERS B | 2000年 / 484卷 / 3-4期
基金：
巴西圣保罗研究基金会;
关键词：
supersymmetric mechanics; relativistic spinning particles; anti-de-sitter spaces;
D O I：
10.1016/S0370-2693(00)00670-5
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The dynamics of an N = 4 spinning particle in a curved background is described using the N = 4 superfield formalism. The SU(2)(local) x SU(2)(global) N = 4 superconformal symmetry of the particle action requires the background to be a real "Kahler-like" manifold whose metric is generated by a sigma-model superpotenial. The anti-de-Sitter spaces are shown to belong to this class of manifolds. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：337 / 346
页数：10
相关论文
共 37 条
  • [1] DUAL STRING WITH U(1) COLOR SYMMETRY
    ADEMOLLO, M
    BRINK, L
    DADDA, A
    DAURIA, R
    NAPOLITANO, E
    SCIUTO, S
    DELGIUDICE, E
    DIVECCHIA, P
    FERRARA, S
    GLIOZZI, F
    MUSTO, R
    PETTORINO, R
    SCHWARZ, JH
    [J]. NUCLEAR PHYSICS B, 1976, 111 (01) : 77 - 110
  • [2] QUANTUM SUPERCONFORMAL MODEL IN (1,2) SPACE
    AKULOV, VP
    PASHNEV, AI
    [J]. THEORETICAL AND MATHEMATICAL PHYSICS, 1983, 56 (03) : 862 - 866
  • [3] GEOMETRICAL STRUCTURE AND ULTRAVIOLET FINITENESS IN THE SUPERSYMMETRIC SIGMA-MODEL
    ALVAREZGAUME, L
    FREEDMAN, DZ
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1981, 80 (03) : 443 - 451
  • [4] On the structure of the n=4 supersymmetric quantum mechanics in D=2 and D=3
    Berezovoj, V
    Pashnev, A
    [J]. CLASSICAL AND QUANTUM GRAVITY, 1996, 13 (07) : 1699 - 1706
  • [5] BEREZOVOJ VP, 1991, 9120 KFTI
  • [6] The concept of a noncommutative Riemann surface
    Bertoldi, G
    Isidro, JM
    Matone, M
    Pasti, P
    [J]. PHYSICS LETTERS B, 2000, 484 (3-4) : 323 - 332
  • [7] BERTOLDI G, HEPTH0003131
  • [8] LAGRANGIAN FORMULATION OF CLASSICAL AND QUANTUM DYNAMICS OF SPINNING PARTICLES
    BRINK, L
    DIVECCHIA, P
    HOWE, P
    [J]. NUCLEAR PHYSICS B, 1977, 118 (1-2) : 76 - 94
  • [9] BRITTOPACUMIO R, HEPTH9911066
  • [10] Black holes and superconformal mechanics
    Claus, P
    Derix, M
    Kallosh, R
    Kumar, J
    Townsend, PK
    Van Proeyen, A
    [J]. PHYSICAL REVIEW LETTERS, 1998, 81 (21) : 4553 - 4556
1234