Wrapping at four loops in N=4 SYM

Abstract

We present the planar four-loop anomalous dimension of the composite operator tr(phi[Z,phi]Z) in the flavour SU(2) sector of the N=4 SYM theory. At this loop order wrapping interactions are present: they give rise to contributions proportional to zeta(5) increasing the level of transcendentality of the anomalous dimension. In a sequel of this paper all the details of our calculation will be reported.

LaTeX, 10 pages, 1 table; v2: sign changed in W_1 of Fig.1 and corresponding correction for the coeff. of zeta(3) in the final result, references added; v3: version published in Phys.Lett.B

References in corpus (4)

• Dressing and Wrapping
• Wrapping interactions at strong coupling -- the giant magnon
• Anomalous dimension with wrapping at four loops in N=4 SYM
• The Four-Loop Dressing Phase of N=4 SYM

Cited by in corpus (7)

• Anomalous dimension with wrapping at four loops in N=4 SYM
• Finite-Size Effects for Dyonic Giant Magnons
• Finite size effects for giant magnons on physical strings
• Finite-size effects in the superconformal beta-deformed N=4 SYM
• Interacting finite-size magnons
• Reciprocity of gauge operators in N=4 SYM
• Wrapping Interactions and the Konishi Operator