D=4 gauge theory correlators from D=10 NSR σ-model

In our previous work (hep-th/9812044) we have proposed the sigma-model action, conjectured to be the NSR analogue of superstring theory on AdS5×S5. This sigma-model is the NSR superstring action with potential term corresponding to the exotic 5-form vertex operator (branelike state). This 5-form potential plays the role of cosmological term, effectively curving the flat space-time geometry to that of AdS5×S5. In this paper we study this ansatz in more details and provide the derivation of the correlators of the four-dimensional super Yang-Mills theory from the above mentioned sigma-model. In particular, we show that the correlation function of two dilaton vertex operators in such a model reproduces the well-known result of the two-point function in the N=4 four-dimensional super Yang-Mills theory: 〈F2(x)F2(y)〉∼N2|x−y|8.