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arXiv · hep-th/0212172

SL(2,Z) Multiplets in N=4 SYM Theory

Li-Sheng Tseng
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Abstract

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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Li-Sheng Tseng. 2003-02-11. SL(2,Z) Multiplets in N=4 SYM Theory. https://doi.org/10.1088/1126-6708%2F2003%2F01%2F071

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