Flux stabilization in compact groups

TL;DR

This paper investigates flux stabilization of D-branes in compact group manifolds using the Born-Infeld action, finding classical solutions that match conformal field theory predictions and extending to twined conjugacy class geometries.

Contribution

It provides explicit classical solutions for flux-stabilized D-branes and demonstrates their consistency with conformal field theory, extending understanding of flux stabilization mechanisms.

Findings

Classical solutions obeying flux quantization are found.

Spectrum of fluctuations matches conformal field theory predictions.

Results extend to D-branes on twined conjugacy classes.

Abstract

We consider the Born-Infeld action for symmetry-preserving, orientable D-branes in compact group manifolds. We find classical solutions that obey the flux quantization condition. They correspond to conformally invariant boundary conditions on the world sheet. We compute the spectrum of quadratic fluctuations and find agreement with the predictions of conformal field theory, up to a missing level-dependent truncation. Our results extend to D-branes with the geometry of twined conjugacy classes; they illustrate the mechanism of flux stabilization of D-branes.