Wrapping Interactions and the Konishi Operator
arXiv:0801.1661
Abstract
We present a calculation of the four-loop anomalous dimension of the SU(2) sector Konishi operator in N=4 SYM, as an example of "wrapping" corrections to the known result for long operators. We use the known dilatation operator at four loops acting on long operator, and just calculate those diagrams which are affected by the change from operator length L > 4 to L = 4. We find that the answer involves a Zeta[5], so it has trancendentality degree five. Our result differs from previous proposals and calculations. We also discuss some ideas for extending this analysis to determine finite size corrections for operators of arbitrary length in the SU(2) sector.
28 pages, 14 figures
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- Anomalous dimension with wrapping at four loops in N=4 SYM
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- On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian
- Finite size effects for giant magnons on physical strings
- Finite-size effects in the superconformal beta-deformed N=4 SYM
- Finite Size Giant Magnon
- Finite-Size Effects for Multi-Magnon States
- Interacting finite-size magnons
- Reciprocity of gauge operators in N=4 SYM
- Finite size corrections for open strings/open chains in planar AdS/CFT
- Structure of the string R-matrix
- Toy models for wrapping effects