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

TL;DR

This paper explores the structure of N=4 super Yang-Mills theory on a cylindrical spacetime, extending superconformal symmetry generators to U(N) and analyzing their contraction to pp-wave symmetry at large R-charge.

Contribution

It generalizes the superconformal symmetry generators from U(1) to U(N) gauge groups and examines their contraction to pp-wave symmetry in the large R-charge limit.

Findings

Superconformal generators are constructed for U(N) gauge group.

Generators contract to pp-wave symmetry at large R-charge.

Extension from U(1) to U(N) provides new insights into SYM on R×S^3.

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.