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arXiv · 1208.3833

Quantization of AdS x S particle in static gauge

George Jorjadze·Chrysostomos Kalousios·Zurab Kepuladze
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Abstract

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.

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George Jorjadze, Chrysostomos Kalousios, Zurab Kepuladze. 2012-12-05. Quantization of AdS x S particle in static gauge. https://doi.org/10.1088/0264-9381%2F30%2F2%2F025015

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