Abstract
We recently proposed an integrable q-deformation of the AdS5 × S 5 superstring action. Here we give details on the hamiltonian origin and construction of this deformation. The procedure is a generalization of the one previously developed for deforming principal chiral and symmetric space σ-models. We also show that the original \( \mathfrak{p}\mathfrak{s}\mathfrak{u}\left(2,2\Big|4\right) \) symmetry is replaced in the deformed theory by a classical analog of the quantum group \( {U}_q\left(\mathfrak{p}\mathfrak{s}\mathfrak{u}\left(2,2\Big|4\right)\right) \) with q real. The relation between q and the deformation parameter η entering the action is given. The framework used to derive the deformation also enables to prove that at the hamiltonian level, the “maximal deformation” limit corresponds to an undeformed semi-symmetric space σ-model with bosonic part dS5 × H 5. Finally, we discuss the various freedoms in the construction.
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Delduc, F., Magro, M. & Vicedo, B. Derivation of the action and symmetries of the q-deformed AdS5 × S 5 superstring. J. High Energ. Phys. 2014, 132 (2014). https://doi.org/10.1007/JHEP10(2014)132
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DOI: https://doi.org/10.1007/JHEP10(2014)132