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

TL;DR

This paper demonstrates that Ultradistributions of Exponential Type (UET) provide a consistent framework for superstring and superstring field theories, introducing a new Lagrangian, superstring field superpositions, and propagator calculations.

Contribution

It introduces a novel approach using UET for superstring theories, including a new Lagrangian and the concept of anti-superstring, advancing the mathematical foundation.

Findings

Superstring field is a superposition of UET with compact support

A new Lagrangian for closed superstring is proposed

Propagator and convolution calculations for superstring fields are performed

Abstract

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