Nambu-Goto string action with Gauss-Bonnet term

TL;DR

This paper investigates the Nambu-Goto string model enhanced with a Gauss-Bonnet boundary term, analyzing classical solutions using complex Liouville fields to understand the dynamics of open strings.

Contribution

It introduces a novel combination of the Nambu-Goto action with a Gauss-Bonnet boundary term and employs complex Liouville fields for invariant analysis of string dynamics.

Findings

Classical solutions for open strings are described.

The model provides a new perspective on string boundary effects.

Invariant representation aids in understanding string degrees of freedom.

Abstract

We examine the relativistic Nambu-Goto model with Gauss-Bonnet boundary term added to the action integral. The system is analysed using an invariant representation of dynamical string degrees of freedom by complex Liouville fields. The solutions of classical equations of motion for open strings are described.