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Quantization of AdS x S particle in static gauge

George Jorjadze
(
- Humboldt U., Berlin and
- Razmadze Math. Inst. and
- Unlisted, GE
)
,
Chrysostomos Kalousios
(
- Humboldt U., Berlin
)
,
Zurab Kepuladze
(
- Ilia State U. and
- Tbilisi, Inst. Phys.
)

Aug, 2012

15 pages

Published in:

Class.Quant.Grav. 30 (2013) 025015

e-Print:

1208.3833 [hep-th]

DOI:

10.1088/0264-9381/30/2/025015

Report number:

HU-EP-12-19

View in:

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Citations per year

Abstract: (arXiv)

We quantize the particle dynamics in AdS_{N+1} x S^M spacetime in static gauge, which leads to the coordinate representation with wave functions depending only on spatial coordinates. The energy square operator is quadratic in canonical momenta and contains a scalar curvature term. We analyze the self-adjointness of this operator and calculate its spectrum. We then construct unitary representations of the isometry group SO(2,N) x SO(M+1) and calculate the quantum relation between the Casimir numbers.

Note:

12 pages, 1 figure, v2: a discussion section and references added, typos corrected, published version

representation: unitarity
curvature: scalar
anti-de Sitter
quantization
wave function
isometry
SO(2,N)
Casimir
Schroedinger equation
ground state

References(21)

Figures(1)

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