Moduli Spaces of D-branes in CFT-backgrounds

TL;DR

This paper explores how scalar condensates affect D-branes in curved backgrounds using boundary conformal field theory, providing criteria for truly marginal boundary perturbations with various applications.

Contribution

It introduces a general criterion for boundary perturbations to be truly marginal at all orders, advancing the understanding of D-brane deformations in CFT backgrounds.

Findings

Established a criterion for truly marginal boundary perturbations

Analyzed the impact of scalar condensates on D-branes

Outlined potential applications of boundary deformations

Abstract

D-branes in curved backgrounds can be treated with techniques of boundary conformal field theory. We discuss the influence of scalar condensates on such branes, i.e. perturbations of boundary conditions by marginal boundary operators. A general criterion is presented that guarantees a boundary perturbation to be truly marginal in all orders of perturbation theory. Our results on boundary deformations have several interesting applications which are sketched at the end of this note.