Quasilocality of joining/splitting strings from coherent states

Abstract

Using the coherent state formalism we calculate matrix elements of the one-loop non-planar dilatation operator of $\mathcal{N}=4$ SYM between operators dual to folded Frolov-Tseytlin strings and observe a curious scaling behavior. We comment on the {\it qualitative} similarity of our matrix elements to the interaction vertex of a string field theory. In addition, we present a solvable toy model for string splitting and joining. The scaling behaviour of the matrix elements suggests that the contribution to the genus one energy shift coming from semi-classical string splitting and joining is small.

17 pages, 7 figures in 11 files

References in corpus (1)

• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory

Cited by in corpus (3)

• Non-planar ABJM Theory and Integrability
• Non-planar ABJ Theory and Parity
• Serre Relation and Higher Grade Generators of the AdS/CFT Yangian Symmetry