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

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