SL(2,Z) Multiplets in N=4 SYM Theory
High Energy Physics - Theory
2009-11-07 v2
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.
Cite
@article{arxiv.hep-th/0212172,
title = {SL(2,Z) Multiplets in N=4 SYM Theory},
author = {Li-Sheng Tseng},
journal= {arXiv preprint arXiv:hep-th/0212172},
year = {2009}
}
Comments
14 pages, harvmac; v2: published version with minor changes