Dirichlet Boundary Conditions in Generalized Liouville Theory toward a QCD String

TL;DR

This paper explores how Dirichlet boundary conditions in generalized Liouville theory can help construct QCD strings by stabilizing classical configurations and managing tachyon condensation, while maintaining Weyl invariance.

Contribution

It introduces a novel application of Dirichlet boundary conditions in Liouville theory to model QCD strings, emphasizing their role in stability and symmetry preservation.

Findings

Dirichlet boundary conditions stabilize classical string configurations.

They are used to address tachyon condensation.

Weyl invariance is maintained with appropriate conditions.

Abstract

We consider bosonic noncritical strings as QCD strings and we present a basic strategy to construct them in the context of Liouville theory. We show that Dirichlet boundary conditions play important roles in generalized Liouville theory. Specifically, they are used to stabilize the classical configuration of strings and also utilized to treat tachyon condensation in our model. We point out that Dirichlet boundary conditions for the Liouville mode maintains Weyl invariance, if an appropriate condition is satisfied, in the background with a (non-linear) dilaton.