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

TL;DR

This paper demonstrates that Ultradistributions of Exponential Type provide a consistent framework for describing world sheet superstring and superstring field theories, introducing a new Lagrangian and analyzing string field propagators.

Contribution

It introduces a novel approach using Ultradistributions of Exponential Type for superstring theories, including a new Lagrangian and the concept of anti-superstring.

Findings

Ultradistributions of Exponential Type are suitable for superstring descriptions.

A new Lagrangian for closed world sheet superstring is derived.

Propagators and their convolutions are explicitly calculated.

Abstract

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