Non-linear Realization of PSU(2,2|4) on the Light-Cone

TL;DR

This paper explicitly constructs the PSU(2,2|4) superalgebra symmetries of N=4 SuperYang-Mills theory on the light-cone, deriving generators and Hamiltonian expressions in terms of physical degrees of freedom.

Contribution

It provides a non-linear realization of the superalgebra on the light-cone, including all orders in the gauge coupling, and expresses the Hamiltonian as a quadratic form of a superfield.

Findings

Explicit superalgebra generators derived

Hamiltonian expressed as quadratic form of superfield

Symmetries formulated solely in terms of physical degrees of freedom

Abstract

The symmetries of the N=4 SuperYang-Mills theory on the light-cone are discussed, solely in terms of its physical degrees of freedom. We derive explicit expressions for the generators of the PSU(2,2|4) superalgebra, both in the free theory, and to all orders in the gauge coupling of the classical theory. We use these symmetries to construct its Hamiltonian, and show that it can be written as a quadratic form of a fermionic superfield.