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

Arutyunov, Gleb; Frolov, Sergey; Plefka, Jan; Zamaklar, Marija

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 show that 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.

Citation

Arutyunov, G., Frolov, S., Plefka, J., & Zamaklar, M. (2007). The Off-shell Symmetry Algebra of the Light-cone AdS(5) x S**5 Superstring. Journal of Physics A: Mathematical and Theoretical, 40(13), https://doi.org/10.1088/1751-8113/40/13/018

• Journal Article Type: Article
• Acceptance Date: Feb 14, 2007
• Online Publication Date: Mar 14, 2007
• Publication Date: 2007
• Journal: Journal of Physics A: Mathematical and Theoretical
• Print ISSN: 1751-8113
• Electronic ISSN: 1751-8121
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 40
• Issue: 13
• DOI: https://doi.org/10.1088/1751-8113/40/13/018
• Public URL: https://durham-repository.worktribe.com/output/1579391