The Off-shell Symmetry Algebra of the Light-cone AdS(5) x S**5 Superstring

Abstract

We analyse the psu(2, 2|4) supersymmetry algebra of a superstring propagating in the AdS5 ? S5 background in the uniform light-cone gauge. We consider the off-shell theory by relaxing the level-matching condition and take the limit of infinite light-cone momentum, which decompactifies the string world-sheet. We focus on the psu(2|2) ? psu(2|2) subalgebra which leaves the light-cone Hamiltonian invariant and showthat it undergoes extension by a central element which is expressed in terms of the level-matching operator. This result is in agreement with the conjectured symmetry algebra of the dynamic S-matrix in the dual N = 4 gauge theory.