Script N = 4 SYM on R × S3and PP-Wave

2002/07/31 by Kazumi Okuyama
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #Quantum Mechanics and Non-Hermitian Physics #hep-th

paper · pdf · doi:10.1088/1126-6708/2002/11/043

published as JHEP 0211 (2002) 043 · 18 pages, lanlmac; v3: added a comment on Weyl anomaly

arxiv created 2002/08/22 · openalex publication_date 2002/11/20 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

We consider the radial quantization of N=4 super Yang-Mills (SYM) in 4 dimensions, i.e., N=4 SYM on a cylinder R times S³. We construct the generators of superconformal symmetry in the case of U(N) gauge group, generalizing the earlier work by Nicolai et al. for U(1) gauge group. We study how these generators contract to the symmetry of pp-wave when they act on a state with large R-charge.

Citations

• On Kaluza-Klein theory
• Exact anomalous dimensions of N=4 Yang–Mills operators with large R charge