Wrapping interactions and the genus expansion of the 2-point function of composite operators

Abstract

We perform a systematic analysis of wrapping interactions for a general class of theories with color degrees of freedom, including N=4 SYM. Wrapping interactions arise in the genus expansion of the 2-point function of composite operators as finite size effects that start to appear at a certain order in the coupling constant at which the range of the interaction is equal to the length of the operators. We analyze in detail the relevant genus expansions, and introduce a strategy to single out the wrapping contributions, based on adding spectator fields. We use a toy model to demonstrate our procedure, performing all computations explicitly. Although completely general, our treatment should be particularly useful for applications to the recent problem of wrapping contributions in some checks of the AdS/CFT correspondence.

41 pages, LaTeX, 12 figures, minor changes, final version in NPB

References in corpus (12)

• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
• Spinning strings and AdS/CFT duality
• Classical/quantum integrability in non-compact sector of AdS/CFT
• On Integrability of Classical SuperStrings in AdS_5 x S^5
• Matching quantum strings to quantum spins: one-loop vs. finite-size corrections
• On one-loop correction to energy of spinning strings in S^5
• Spinning strings in AdS_5 x S^5: one-loop correction to energy in SL(2) sector
• Higher Impurity AdS/CFT Correspondence in the Near-BMN Limit
• Planar plane-wave matrix theory at the four loop order: Integrability without BMN scaling
• N-Impurity Superstring Spectra Near the pp-Wave Limit
• Quantum string integrability and AdS/CFT

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