[Paper Review] Event Symmetric Open String Field Theory

Phil E. Gibbs|ArXiv.org|May 26, 1994

Particle physics theoretical and experimental studies3 citations

TL;DR

This paper proposes a non-perturbative, pre-theory framework for superstrings using event symmetric space-time and discrete open strings, constructing a gauge-invariant field theory via a matrix-like structure. The key contribution is a novel formulation that extends Matrix Models and provides a foundation for a fundamental theory of quantum gravity in string theory.

ABSTRACT

Field Theory on Event Symmetric space-time is constructed using the gauge group of discrete open strings. Models with invariant actions can be viewed as natural extensions of Matrix Models. The objective is to find a fundamental non-perturbative pre-theory for superstrings.

Motivation & Objective

• To develop a non-perturbative, fundamental theory for superstrings beyond conventional perturbative approaches.
• To extend Matrix Models by introducing a gauge group based on discrete open strings in event symmetric space-time.
• To construct a field theory on event symmetric space-time that preserves invariance under discrete symmetries.
• To provide a candidate pre-theory for quantum gravity in the context of string theory.
• To unify discrete string dynamics with gauge invariance in a background-independent framework.

Proposed method

• Formulates field theory on event symmetric space-time using a gauge group derived from discrete open strings.
• Constructs invariant actions under the discrete gauge symmetry of open strings to ensure consistency.
• Applies principles from Matrix Models as a foundational template for the proposed field theory.
• Introduces a framework where space-time events are treated as fundamental, symmetric entities rather than continuous manifolds.
• Uses TeX-based formalism to express the theory in a mathematically consistent and compact form.
• Relies on the discrete structure of open strings to define the algebraic and geometric framework of the theory.

Experimental results

Research questions

• RQ1 How can a non-perturbative pre-theory for superstrings be constructed using discrete open string dynamics?
• RQ2 What role does event symmetry play in defining a fundamental space-time structure for string field theory?
• RQ3 Can invariant actions be formulated in a discrete string framework that generalize Matrix Models?
• RQ4 How does the gauge group of discrete open strings enable a consistent field theory on event symmetric space-time?
• RQ5 What are the implications of this framework for a background-independent formulation of quantum gravity in string theory?

Key findings

• The paper successfully constructs a field theory on event symmetric space-time using discrete open strings as the gauge group.
• The resulting theory features invariant actions that generalize the structure of Matrix Models.
• The framework provides a natural extension of Matrix Models into a non-perturbative string field theory setting.
• The theory is formulated as a pre-theory for superstrings, aiming to describe quantum gravity at a fundamental level.
• The approach introduces a discrete, symmetric structure to space-time that avoids continuum assumptions.
• The formalism is presented in TeX with a 7-page structure, indicating a compact and focused theoretical construction.