Internal and Super Symmetry in String Bit Models

TL;DR

This paper develops supersymmetric string bit Hamiltonians with specific operators that facilitate correct interaction vertices for IIB superstring theory, advancing the understanding of string interactions in a supersymmetric framework.

Contribution

It constructs supersymmetric string bit Hamiltonians with operators that reproduce the necessary interaction vertices for IIB superstring theory.

Findings

Operators with spinor tensor structure enable correct string interaction vertices.

Constructed Hamiltonians commute with supersymmetry generators.

Provides a framework for modeling string interactions in a supersymmetric setting.

Abstract

We study in a general way the construction of string bit Hamiltonians which are supersymmetric, We construct several quadratic and quartic polynomials in string bit creation and annihilation operators ${\bar\phi}^A_{a_1\cdots a_n}$, ${\phi}^A_{a_1\cdots a_n}$,which commute with the supersymmetry generators $Q^a$. Among these operators are ones with the spinor tensor structure required to provide the lightcone worldsheet vertex insertion factors needed to give the correct interactions for the IIB superstring, whenever a closed string separates into two closed strings or two closed strings join into one.