The algebra of flat currents for the string on AdS_5 x S^5 in the light-cone gauge

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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27 pages, references added, version published in JHEP

Scientific paper

10.1088/1126-6708/2005/11/015

We continue the program initiated in hep-th/0411200 and calculate the algebra of the flat currents for the string on AdS_5 x S^5 background in the light-cone gauge with kappa-symmetry fixed. We find that the algebra has a closed form and that the non-ultralocal terms come with a weight factor e^{\phi} that depends on the radial AdS_5 coordinate. Based on results in two-dimensional sigma models coupled to gravity via the dilaton field, this suggests that the algebra of transition matrices in the present case is likely to be unambigous.

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