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In this paper we show that Ultradistributions of Exponential Type (UET) areappropriate for the description in a consistent way world sheet superstring andsuperstring field theories. A new Lagrangian for the closed world sheetsuperstring is obtained. We also show that the superstring field is a linearsuperposition of UET of compact support (CUET), and give the notion ofanti-superstring. We evaluate the propagator for the string field, andcalculate the convolution of two of them.

World Sheet Superstring and Superstring Field Theory: a new solution using Ultradistributions of Exponential Type