N=4 SYM on R times S^3 and PP-Wave

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 S^3. 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.

18 pages, lanlmac; v3: added a comment on Weyl anomaly

References in corpus (4)

• PP-wave string interactions from perturbative Yang-Mills theory
• Exact anomalous dimensions of {\cal N}=4 Yang-Mills operators with large R charge
• Operators with large R charge in N=4 Yang-Mills theory
• Realizations of Conformal and Heisenberg Algebras in PP-wave-CFT Correspondence

Cited by in corpus (7)

• Counting chiral primaries in N=1 d=4 superconformal field theories
• Plane-wave Matrix Theory from N=4 Super Yang-Mills on RxS^3
• Giant Hedge-Hogs: Spikes on Giant Gravitons
• Correlation functions and representation bases in free N=4 Super Yang-Mills
• Instantons, supersymmetric vacua, and emergent geometries
• Explicit Non-Abelian Monopoles and Instantons in SU(N) Pure Yang-Mills Theory
• Matrix Reduction and the su(2|2) superalgebra in AdS/CFT