SL(2,Z) Multiplets in N=4 SYM Theory
arXiv:hep-th/0212172 · doi:10.1088/1126-6708/2003/01/071
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.
14 pages, harvmac; v2: published version with minor changes
References in corpus (18)
- Gauge Theory Correlators from Non-Critical String Theory
- A Strong Coupling Test of S-Duality
- Dyon - Monopole Bound States, Self-Dual Harmonic Forms on the Multi-Monopole Moduli Space, and SL(2,Z) Invariance in String Theory
- Some Comments On String Dynamics
- The Calculus of Many Instantons
- Bonus Symmetries of N=4 Super-Yang-Mills Correlation Functions via AdS Duality
- Multi-Instanton Calculus and the AdS/CFT Correspondence in N=4 Superconformal Field Theory
- Anomalous dimensions in N=4 SYM theory at order g^4
- On the logarithmic behaviour in N=4 SYM theory
- Properties of the Konishi multiplet in N=4 SYM theory
- A Critical Behaviour of Anomalous Currents, Electric-Magnetic Universality and CFT_4
- The N=4 Quantum Conformal Algebra
- Universality of the Operator Product Expansions of SCFT_4
- Perturbative and instanton corrections to the OPE of CPOs in N=4 SYM_4
- Implications of Superconformal Symmetry for Interacting (2,0) Tensor Multiplets
- Instanton corrections to circular Wilson loops in N=4 Supersymmetric Yang-Mills
- Magnetic Monopoles, Duality, and Supersymmetry
- Duality in supersymmetric gauge theories