Abstract
We propose a simple conformal mechanics model which is classically equivalent to a charged massive particle propagating near the AdS2 × S2 horizon of an extreme Reissner-Nordström 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 AdS2 × S2 background.
| Original language | English |
|---|---|
| Pages (from-to) | 99-106 |
| Number of pages | 8 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 555 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 27 Feb 2003 |
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Keywords
- AdS/CFT
- Canonical transformation
- Conformal mechanics
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
AdS2/CFT1, canonical transformations and superconformal mechanics. / Bellucci, S.; Galajinsky, A.; Ivanov, E.; Krivonos, S.
In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 555, No. 1-2, 27.02.2003, p. 99-106.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - AdS2/CFT1, canonical transformations and superconformal mechanics
AU - Bellucci, S.
AU - Galajinsky, A.
AU - Ivanov, E.
AU - Krivonos, S.
PY - 2003/2/27
Y1 - 2003/2/27
N2 - We propose a simple conformal mechanics model which is classically equivalent to a charged massive particle propagating near the AdS2 × S2 horizon of an extreme Reissner-Nordström 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 AdS2 × S2 background.
AB - We propose a simple conformal mechanics model which is classically equivalent to a charged massive particle propagating near the AdS2 × S2 horizon of an extreme Reissner-Nordström 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 AdS2 × S2 background.
KW - AdS/CFT
KW - Canonical transformation
KW - Conformal mechanics
UR - http://www.scopus.com/inward/record.url?scp=0037468340&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0037468340&partnerID=8YFLogxK
U2 - 10.1016/S0370-2693(03)00040-6
DO - 10.1016/S0370-2693(03)00040-6
M3 - Article
VL - 555
SP - 99
EP - 106
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 1-2
ER -