### Abstract

We propose a simple conformal mechanics model which is classically equivalent to a charged massive particle propagating near the AdS_{2} × S^{2} 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 AdS_{2} × S^{2} 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 |

### Fingerprint

### Keywords

- AdS/CFT
- Canonical transformation
- Conformal mechanics

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

_{2}/CFT

_{1}, canonical transformations and superconformal mechanics.

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*555*(1-2), 99-106. https://doi.org/10.1016/S0370-2693(03)00040-6

**AdS _{2}/CFT_{1}, canonical transformations and superconformal mechanics.** / Bellucci, S.; Galajinsky, A.; Ivanov, E.; Krivonos, S.

Research output: Contribution to journal › Article

_{2}/CFT

_{1}, canonical transformations and superconformal mechanics',

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 555, no. 1-2, pp. 99-106. https://doi.org/10.1016/S0370-2693(03)00040-6

_{2}/CFT

_{1}, canonical transformations and superconformal mechanics. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2003 Feb 27;555(1-2):99-106. https://doi.org/10.1016/S0370-2693(03)00040-6

}

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 -