String Bits and Gluing of Metastring Strips

TL;DR

This paper reviews the meta-string formulation and introduces a method to construct closed-string worldsheets by gluing Nakamura strips, connecting it to string-bit models and D-branes.

Contribution

It provides a systematic derivation of gluing conditions for multiple strips and relates the strip picture to string-bit models and Chan-Paton factors, advancing the meta-string framework.

Findings

Derived boundary equations of motion for N-strips

Connected strip picture to string-bit models

Identified conjugate momenta related to strip separation

Abstract

In this essay, we review the meta-string formulation proposed by Freidel, Leigh, Minic in a recent paper. Our work focuses on the construction of a closed-string world-sheet from gluing of Nakamura strips. We review the symplectic current formulation for determining the gluing condition for a single strip. We then study the two-strip scenario in a new notation to rigorously derive the boundary equations of motion and finally generalize our result to N -strips. We find the conjugate momenta to the strip separation variable and relate it to the midpoint velocity of a strip. We see the natural evolution of meta-D-branes in meta- string theory from the strip picture. Finally, we motivate and show the connection of the strip picture to the string-bit picture put forward by Klebanov and Susskind and conjecture the relation to the Chan-Paton factors.