Light-cone gauge superstring field theory in a linear dilaton background

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The Feynman amplitudes of light-cone gauge superstring field theory suffer from various divergences. In order to regularize them, we study the theory in linear dilaton background $��=-iQX^1$ with the number of spacetime dimensions fixed. We show that the theory with the Feynman $i\varepsilon\,(\varepsilon>0)$ and $Q^{2}>10$ yields finite results.

39 pages, 22 figures, minor corrections

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