AdS₂/CFT₁, canonical transformations and superconformal mechanics

S. Bellucci, A. Galajinsky, E. Ivanov, S. Krivonos

Research School of High-Energy Physics

Research output: Contribution to journal › Article

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	https://doi.org/10.1016/S0370-2693(03)00040-6
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

Bellucci, S., Galajinsky, A., Ivanov, E., & Krivonos, S. (2003). AdS₂/CFT₁, 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

@article{35939ef1dd8a44c1ad75bd6e211f3700,

title = "AdS2/CFT1, canonical transformations and superconformal mechanics",

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-Nordstr{\"o}m 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.",

keywords = "AdS/CFT, Canonical transformation, Conformal mechanics",

author = "S. Bellucci and A. Galajinsky and E. Ivanov and S. Krivonos",

year = "2003",

month = "2",

day = "27",

doi = "10.1016/S0370-2693(03)00040-6",

language = "English",

volume = "555",

pages = "99--106",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier",

number = "1-2",

}

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

AN - SCOPUS:0037468340

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 -

Access to Document

10.1016/S0370-2693(03)00040-6