1/2-BPS D-branes from covariant open superstring in AdS$_4\times \mathbf{CP}^3$ background

TL;DR

This paper classifies 1/2-BPS D-branes in the AdS4×CP3 background by analyzing boundary conditions of the covariant open superstring action, revealing restrictions imposed by the Kähler structure on CP3.

Contribution

It provides a covariant classification of 1/2-BPS D-branes in AdS4×CP3 using κ-symmetry, highlighting the influence of the Kähler structure on possible D-brane configurations.

Findings

Classified 1/2-BPS D-branes via boundary conditions and κ-symmetry.

Identified restrictions on D-branes due to the Kähler structure of CP3.

Excluded configurations with worldvolume fluxes.

Abstract

We consider the open superstring action in the AdS$_4 \times \mathbf{CP}^3$ background and investigate the suitable boundary conditions for the open superstring describing the 1/2-BPS D-branes by imposing the $\kappa$-symmetry of the action. This results in the classification of 1/2-BPS D-branes from covariant open superstring. It is shown that the 1/2-BPS D-brane configurations are restricted considerably by the K\"{a}hler structure on $\mathbf{CP}^3$. We just consider D-branes without worldvolume fluxes.