Quantizing String Theory in AdS_5 X S^5: Beyond the pp-Wave

Abstract

In a certain kinematic limit, where the effects of spacetime curvature (and other background fields) greatly simplify, the light-cone gauge world-sheet action for a type IIB superstring on AdS_5 x S^5 reduces to that of a free field theory. It has been conjectured by Berenstein, Maldacena, and Nastase that the energy spectrum of this string theory matches the dimensions of operators in the appropriately defined large R-charge large-N_c sector of N=4 supersymmetric Yang--Mills theory in four dimensions. This holographic equivalence is thought to be exact, independent of any simplifying kinematic limits. As a step toward verifying this larger conjecture, we have computed the complete set of first curvature corrections to the spectrum of light-cone gauge string theory that arises in the expansion of AdS_5 x S^5 about the plane-wave limit. The resulting spectrum has the complete dependence on lambda = g_YM^2 N_c; corresponding results in the gauge theory are known only to second order in lambda. We find precise agreement to this order, including the N=4 extended supermultiplet structure. In the process, we demonstrate that the complicated schemes put forward in recent years for defining the Green--Schwarz superstring action in background Ramond-Ramond fields can be reduced to a practical (and correct) method for quantizing the string.

39 pages; substantial improvements

References in corpus (16)

• Gauge Theory Correlators from Non-Critical String Theory
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• The Bethe-Ansatz for N=4 Super Yang-Mills
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Type IIB superstring action in AdS_5 x S^5 background
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background
• A new maximally supersymmetric background of IIB superstring theory
• A New Double-Scaling Limit of N=4 Super Yang-Mills Theory and PP-Wave Strings
• PP-wave string interactions from perturbative Yang-Mills theory
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• BMN Correlators and Operator Mixing in N=4 Super Yang-Mills Theory
• Near Horizon Superspace
• Operator Mixing and the BMN Correspondence
• BMN Gauge Theory as a Quantum Mechanical System
• Strings in the near plane wave background and AdS/CFT

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