Exact Quantization of a Superparticle in AdS_5 x S^5

Abstract

As a step toward deeper understanding of the AdS/CFT correspondence, exact quantization of a Brink-Schwarz superparticle in the AdS_5 x S^5 background with Ramond-Ramond (RR) flux is performed from the first principle in the phase space formulation. It includes the construction of the quantum Noether charges for the psu(2,2|4) superconformal symmetry and by solving the superconformal primary conditions we obtain the complete physical spectrum of the system with the explicit wave functions. The spectrum agrees precisely with the supergravity results, including all the Kaluza-Klein excitations. Our method and the result are expected to shed light on the eventual quantization of a superstring in this important background.

46 pages, no figure ; minor revision

References in corpus (6)

• GGI Lectures on the Pure Spinor Formalism of the Superstring
• Some Implications of Perturbative Approach to AdS/CFT Correspondence
• Quantum strings in AdS5 x S5 and AdS/CFT duality
• AdS/CFT Correspondence as a Consequence of Scale Invariance
• Summing planar diagrams
• PSU(2,2|4) transformations of IIB superstring in AdS_5 x S^5

Cited by in corpus (11)

• Semiclassical string computation of strong-coupling corrections to dimensions of operators in Konishi multiplet
• Quantum AdS_5 x S^5 superstring in the AdS light-cone gauge
• On the Spectrum of the AdS_5xS^5 String at large lambda
• Supertwistor formulation for massless superparticle in $Ad{S}_5\times S^5$ superspace
• Orbit method quantization of the AdS${}_2$ superparticle
• Isometry Group Orbit Quantization of Spinning Strings in AdS_3 x S^3
• Quantization of AdS x S particle in static gauge
• Coset construction of AdS particle dynamics
• Oscillator approach to quantization of $Ad{S}_5\times S^5$ superparticle in twistor formulation
• Quantization of the ${\mathrm{AdS}}_3$ Superparticle on $\mathrm{OSP}(1|2{)}^2/\mathrm{SL}(2,\mathbb{R})$
• Low Energy Action of "Covariant" Superstring Field Theory in the NS-NS pp-Wave Background