Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-12-16
JHEP 0301 (2003) 071
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, harvmac; v2: published version with minor changes
Scientific paper
10.1088/1126-6708/2003/01/071
We discuss the action of SL(2,Z) on local operators in D=4, N=4 SYM theory in the superconformal phase. The modular property of the operator's scaling dimension determines whether the operator transforms as a singlet, or covariantly, as part of a finite or infinite dimensional multiplet under the SL(2,Z) action. As an example, we argue that operators in the Konishi multiplet transform as part of a (p,q) PSL(2,Z) multiplet. We also comment on the non-perturbative local operators dual to the Konishi multiplet.
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