String Bit Models for Superstring

TL;DR

This paper extends the string bit model to superstrings, focusing on type II-B, exploring symmetry reductions, and showing how continuous superstring behavior can emerge from polymer formations of string bits.

Contribution

It introduces a superstring bit model within the light-cone gauge, addressing symmetry limitations and demonstrating how continuous superstring dynamics can arise from polymerized string bits.

Findings

Superstring bit model formulated with reduced symmetry.

Continuous superstring behavior emerges from polymerized string bits.

The model primarily focuses on type II-B superstring, with discussion on other types.

Abstract

We extend the model of string as a polymer of string bits to the case of superstring. We mainly concentrate on type II-B superstring, with some discussion of the obstacles presented by not II-B superstring, together with possible strategies for surmounting them. As with previous work on bosonic string we work within the light-cone gauge. The bit model possesses a good deal less symmetry than the continuous string theory. For one thing, the bit model is formulated as a Galilei invariant theory in $(D-2)+1$ dimensional space-time. This means that Poincar\'e invariance is reduced to the Galilei subgroup in $D-2$ space dimensions. Naturally the supersymmetry present in the bit model is likewise dramatically reduced. Continuous string can arise in the bit models with the formation of infinitely long polymers of string bits. Under the right circumstances (at the critical dimension) these polymers can behave as string moving in $D$ dimensional space-time enjoying the full $N=2$ Poincar\'e supersymmetric dynamics of type II-B superstring.