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Journal Article

#### The off-shell symmetry algebra of the light-cone AdS_{5}x S^{5} superstring

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##### Fulltext (public)

0609157v1.pdf

(Preprint), 317KB

a7_13_018.pdf

(Publisher version), 294KB

##### Supplementary Material (public)

There is no public supplementary material available

##### 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,*
*40*(13), 3583-3605.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-4861-F

##### 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.