Dirichlet Boundary State in Linear Dilaton Background

TL;DR

This paper introduces a boundary interaction that restores conformal invariance for Dirichlet branes in linear dilaton backgrounds, extending their applicability beyond flat space, with implications for two-dimensional string theory.

Contribution

It proposes a novel boundary interaction to generalize Dirichlet boundary conditions in linear dilaton backgrounds, maintaining conformal invariance.

Findings

Boundary interaction restores conformal invariance in linear dilaton backgrounds.

Application to two-dimensional string theory demonstrated.

Generalization of Dirichlet branes beyond flat backgrounds.

Abstract

Dirichlet-branes have emerged as important objects in studying nonperturbative string theory. It is important to generalize these objects to more general backgrounds other than the usual flat background. The simplest case is the linear dilaton condensate. The usual Dirichlet boundary condition violates conformal invariance in such a background. We show that by switching on a certain boundary interaction, conformal invariance is restored. An immediate application of this result is to two dimensional string theory.