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 ZhETF, Vol. 118, No. 6, p. 1272 (December 2000) (English translation - JETP, Vol. 91, No. 6, p. 1098, December 2000 available online at www.springer.com ) TYPE IIB GREEN--SCHWARZ SUPERSTRINGS IN AdS5 \times S5 FROM THE SUPERCOSET APPROACH Metsaev R.R., Tseytlin A.A. Received: July 21, 2000 PACS: 11.25.-w, 11.30.Pb We consider superstrings moving in the space-time and find their Green-Schwarz action using the supercoset approach based on the supergroup PSU(2,2|4). We describe several parametrizations of the relevant supercoset and present the action in different κ-symmetry gauges. In particular, we discuss a gauge where all the fermionic coordinates corresponding to the conformal (S) supercharges are gauged away and also a light-cone type gauge where half of the Q and S supercoordinates are gauged away. The resulting action contains terms that are quadratic and quartic in fermions. In the flat-space limit, it reduces to the standard Green-Schwarz action. We comment on the possibility of fixing the bosonic gauge and of reformulating the action in terms of two-dimensional Dirac spinors.
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