We propose the (BRST-invariant) quantum open superstring field theory in the “-gauge,” based on Neveu–Schwarz (NS) strings in 1 picture and Ramond (R) strings in picture. We give the propagators of these open NS and R superstrings. In order to obtain the BRST-invariant interaction terms among these superstrings, we modify the interaction terms among three superstrings (i.e., among NS–NS–NS and R–R–NS) by subtracting the infinite number of counter terms, each of which involves interaction terms among “more than four superstrings.” The modified action can be obtained successively, so that resulting amplitudes in g-loops should become BRST invariant. Thus obtained amplitudes are referred to as the “amputated scatts,” with the help of which the physical scattering amplitudes can be expressed. These physical scattering amplitudes among bosonic ( fermionic) particles are calculated by using the analytic inlint gluing operator (which has already been proposed and used in the quantum bosonic string field theory “in the gauge”).
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