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We propose a dimensional regularization scheme to deal with the divergencescaused by colliding supercurrents inserted at the interaction points, in thelight-cone gauge NSR superstring field theory. We formulate the theory in $d$dimensions and define the amplitudes as analytic functions of $d$. With anappropriately chosen three-string interaction term and large negative $d$, thetree level amplitudes for the (NS,NS) closed strings can be recast into a BRSTinvariant form, using the superconformal field theory proposed inRef.[arXiv:0911.3704]. We show that in the limit $d \to 10$ they coincide withthe results of the first quantized theory. Therefore we obtain the desiredresults without adding any contact interaction terms to the action.

Light-cone Gauge Superstring Field Theory and Dimensional Regularization II