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The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring

Gleb Arutyunov·Sergey Frolov·Jan Plefka·Marija Zamaklar
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Abstract

We analyze the psu(2,2|4) supersymmetry algebra of a superstring propagating in the AdS_5 x S^5 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.

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Gleb Arutyunov, Sergey Frolov, Jan Plefka, Marija Zamaklar. 2006-09-22. The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring. https://doi.org/10.1088/1751-8113%2F40%2F13%2F018

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