The Duality between IIB String Theory on PP-wave and N=4 SYM: a Status Report

Abstract

The aim of this report is to give an overview of the duality between type IIB string theory on the maximally supersymmetric PP-wave and the BMN sector of N=4 Super Yang-Mills theory. The general features of the string and the field theory descriptions are reviewed, but the main focus of this report is on the comparison between the two sides of the duality. In particular, it is first explained how free IIB strings emerge on the gauge theory side and then the generalizations of this relation to the full interacting theory are considered. An ``historical'' approach is taken and the various proposals presented in the literature are described.

35 pages, 5 figures; Contribution to the proceedings of the Copenhagen RTN workshop, 15-20 September 2003; v3, few comments added, misprints corrected

References in corpus (9)

• Strings in plane wave backgrounds
• An alternative formulation of light-cone string field theory on the plane wave
• Correspondence between the 3-point BMN correlators and the 3-string vertex on the pp-wave
• Note on Plane Wave Quantum Mechanics
• Open+Closed String Field Theory From Gauge Fields
• BMN operators with three scalar impurites and the vertex--correlator duality in pp-wave
• BMN operators with vector impurities, Z_2 symmetry and pp-waves
• New tests of the pp-wave correspondence
• Instability and Degeneracy in the BMN Correspondence

Cited by in corpus (21)

• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Spinning strings and integrable spin chains in the AdS/CFT correspondence
• Algebraic Curve for the SO(6) sector of AdS/CFT
• Giant Gravitons - with Strings Attached (III)
• A light-cone approach to three-point functions in AdS_5 x S^5
• Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
• On the plane-wave cubic vertex
• N=2 Super Yang-Mills and the XXZ spin chain
• String amplitudes in the Hpp-wave limit of AdS3xS3
• Holographic cubic vertex in the pp-wave
• Comments on World-Sheet Form Factors in AdS/CFT
• Non-perturbative contributions to the plane-wave string mass matrix
• New aspects of the BMN correspondence beyond the planar limit
• Non-perturbative effects in the BMN limit of N=4 supersymmetric Yang-Mills
• Boundary fermions and the plane wave
• Non-BPS D-Branes in Light-Cone Green-Schwarz Formalism
• N=4 superconformal mechanics in the pp-wave limit
• Local Commutativity and Causality in Interacting PP-wave String Field Theory
• Branes in the plane wave background with gauge field condensates
• Turbulent aspects of BMN membrane dynamics