Predictions for PP-wave string amplitudes from perturbative SYM

Abstract

The role of general two-impurity multi-trace operators in the BMN correspondence is explored. Surprisingly, the anomalous dimensions of all two-impurity multi-trace BMN operators to order g_2^2λ' are completely determined in terms of single-trace anomalous dimensions. This is due to suppression of connected field theory diagrams in the BMN limit and this fact has important implications for some string theory processes on the PP-wave background. We also make gauge theory predictions for the matrix elements of the light-cone string field theory Hamiltonian in the two string-two string and one string-three string sectors.

46 pages, 12 figures. V3:typos corrected

References in corpus (17)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• 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
• Exact anomalous dimensions of {\cal N}=4 Yang-Mills operators with large R charge
• Operators with large R charge in N=4 Yang-Mills theory
• BMN Correlators and Operator Mixing in N=4 Super Yang-Mills Theory
• Superstring Interactions in a pp-wave Background
• Operator Mixing and the BMN Correspondence
• Superstring Interactions in a pp-wave Background II
• BMN Gauge Theory as a Quantum Mechanical System
• A Calculation of the plane wave string Hamiltonian from N=4 super-Yang-Mills theory
• BMN Operators and Superconformal Symmetry
• Tracing the String: BMN correspondence at Finite J^2/N
• Three point functions of N=4 Super Yang Mills from light cone string field theory in pp-wave
• Vector operators in the BMN correspondence
• PP-wave String Interactions from String Bit Model
• Correlators of Short Multi-Trace Operators in N=4 Supersymmetric Yang-Mills

Cited by in corpus (7)

• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Surprises from the Resolution of Operator Mixing in N = 4 SYM
• Fermion BMN operators, the dilatation operator of N=4 SYM, and pp-wave string interactions
• New tests of the pp-wave correspondence
• AdS/CFT v.s. String Loops
• Decay Modes of Unstable Strings in Plane-Wave String Field Theory
• Free BMN Correlators With More Stringy Modes