Strings with interacting ends

TL;DR

This paper investigates classical open bosonic strings with self-interactions at their ends, simplifying the equations of motion through complex Liouville fields and boundary problems, revealing new insights into string boundary dynamics.

Contribution

It introduces a novel description of string self-interactions at the ends using complex Liouville fields and simplifies the equations of motion via Lorentz and reparametrization invariant variables.

Findings

Self-interactions characterized by two dimensionless couplings.

Equations of motion reduce to boundary problems for Liouville equations.

Simplified framework for analyzing string boundary dynamics.

Abstract

At the classical level we study open bosonic strings. A generic description of string self-interactions localized at string ends is given. Self-interactions are characterized by two dimensionless coupling constants. The model is rewritten using complex Liouville fields. Using these Lorentz and reparametrization invariant variables, equations of motion get greatly simplified and reduce to some boundary problem for Liouville equation.