Quantization of AdS x S particle in static gauge

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.

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

References in corpus (5)

• Covariant propagator in AdS5 x S5 superspace
• On the Spectrum of the AdS_5xS^5 String at large lambda
• Bosonic String Quantization in Static Gauge
• Exact Quantization of a Superparticle in AdS_5 x S^5
• Spacecone quantization of AdS superparticle

Cited by in corpus (6)

• Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS^5
• Orbit method quantization of the AdS${}_2$ superparticle
• Isometry Group Orbit Quantization of Spinning Strings in AdS_3 x S^3
• Coset construction of AdS particle dynamics
• Light-cone AdS/CFT-adapted approach to AdS fields/currents, shadows, and conformal fields
• Quantization of the ${\mathrm{AdS}}_3$ Superparticle on $\mathrm{OSP}(1|2{)}^2/\mathrm{SL}(2,\mathbb{R})$