Geodesic
Symmetry algebra of the~AdS$_4{\times}\mathbb{CP}^3$ superstring
Teoretičeskaâ i matematičeskaâ fizika, Tome 163 (2010) no. 1, pp. 114-131

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By direct calculation in the classical theory, we derive the central extension of the off-shell symmetry algebra for a string propagating in AdS$_4\times\mathbb{CP}^3$. It turns out to be the same as in the case of the AdS$_5\times S^5$ string. We consider the choice of the $\kappa$-symmetry gauge in detail and also explain how this gauge can be chosen without breaking the bosonic symmetries.
Keywords: AdS/CFT correspondence, Green–Schwarz superstring, integrable models. 
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     author = {D. V. Bykov},
     title = {Symmetry algebra of {the~AdS}$_4{\times}\mathbb{CP}^3$ superstring},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {114--131},
     publisher = {mathdoc},
     volume = {163},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2010_163_1_a7/}
}
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D. V. Bykov. Symmetry algebra of the~AdS$_4{\times}\mathbb{CP}^3$ superstring. Teoretičeskaâ i matematičeskaâ fizika, Tome 163 (2010) no. 1, pp. 114-131. http://geodesic.mathdoc.fr/item/TMF_2010_163_1_a7/