AdS2/CFT1, canonical transformations and superconformal mechanics

被引:63
作者
Bellucci, S
Galajinsky, A
Ivanov, E
Krivonos, S
机构
[1] Ist Nazl Fis Nucl, Lab Nazl Frascati, I-00044 Frascati, Italy
[2] Tomsk Polytech Univ, Phys Math Lab, Tomsk 634050, Russia
[3] Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Moscow Region, Russia
关键词
AdS/CFT; conformal mechanics; canonical transformation;
D O I
10.1016/S0370-2693(03)00040-6
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We propose a simple conformal mechanics model which is classically equivalent to a charged massive particle propagating near the AdS(2) x S-2 horizon of an extreme Reissner-Nordstrom black hole. The equivalence holds for any finite value of the black hole mass and with both the radial and angular degrees of freedom of the particle taken into account. It is ensured by the existence of a canonical transformation in the Hamiltonian formalism. Using this transformation, we construct the Hamiltonian of a N = 4 superparticle on AdS(2) x S-2 background. (C) 2003 Published by Elsevier Science B.V.
引用
收藏
页码:99 / 106
页数:8
相关论文
共 18 条
[1]   Large N field theories, string theory and gravity [J].
Aharony, O ;
Gubser, SS ;
Maldacena, J ;
Ooguri, H ;
Oz, Y .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 323 (3-4) :183-386
[2]  
Akulov V. P., 1983, TEOR MAT FIZ, V56, P344
[3]   AdS/CFT equivalence transformation [J].
Bellucci, S ;
Ivanov, E ;
Krivonos, S .
PHYSICAL REVIEW D, 2002, 66 (08)
[4]  
BRITTOPACUMIO R, HEPPH9911066
[5]   w∞ algebras, conformal mechanics and black holes [J].
Cacciatori, S ;
Klemm, D ;
Zanon, D .
CLASSICAL AND QUANTUM GRAVITY, 2000, 17 (08) :1731-1748
[6]   Realization of the infinite-dimensional symmetries of conformal mechanics [J].
Cadoni, M ;
Carta, P ;
Mignemi, S .
PHYSICAL REVIEW D, 2000, 62 (08) :1-4
[7]   Black holes and superconformal mechanics [J].
Claus, P ;
Derix, M ;
Kallosh, R ;
Kumar, J ;
Townsend, PK ;
Van Proeyen, A .
PHYSICAL REVIEW LETTERS, 1998, 81 (21) :4553-4556
[8]   Superconformal mechanics, black holes, and nonlinear realizations -: art. no. 084015 [J].
de Azcárraga, JA ;
Izquierdo, JM ;
Bueno, JCP ;
Townsend, PK .
PHYSICAL REVIEW D, 1999, 59 (08) :1-9
[9]   CONFORMAL INVARIANCE IN QUANTUM-MECHANICS [J].
DEALFARO, V ;
FUBINI, S ;
FURLAN, G .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1976, 34 (04) :569-612
[10]   N=4 superconformal mechanics and the potential structure of AdS spaces [J].
Donets, EE ;
Pashnev, A ;
Rivelles, VO ;
Sorokin, D ;
Tsulaia, M .
PHYSICS LETTERS B, 2000, 484 (3-4) :337-346