Instability and Degeneracy in the BMN Correspondence

Abstract

Non-degenerate perturbation theory, which was used to calculate the scale dimension of operators on the gauge theory side of the correspondence, breaks down when effects of triple trace operators are included. We interpret this as an instability of excited single-string states in the dual string theory for decay into the continuum of degenerate 3-string states. We apply time-dependent perturbation theory to calculate the decay widths from gauge theory. These widths are new gauge theory data which can be compared with future calculations in light cone string field theory.

arXiv comment23 pages, no figures

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Cited by in corpus (13)

• Stringing Spins and Spinning Strings
• Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
• Non-planar ABJM Theory and Integrability
• Surprises from the Resolution of Operator Mixing in N = 4 SYM
• Quasilocality of joining/splitting strings from coherent states
• The Duality between IIB String Theory on PP-wave and N=4 SYM: a Status Report
• String amplitudes in the Hpp-wave limit of AdS3xS3
• String bits without doubling
• New aspects of the BMN correspondence beyond the planar limit
• Decay widths of three-impurity states in the BMN correspondence
• One-Loop Non-Planar Anomalous Dimensions in Super Yang-Mills Theory
• Decay Modes of Unstable Strings in Plane-Wave String Field Theory
• Four-Impurity Operators and String Field Theory Vertex in the BMN Correspondence