  In this note we calculate elliptic genus in various examples of twisted
chiral de Rham complex on two dimensional toric compact manifolds and
Calabi-Yau hypersurfaces in toric manifolds. At first the elliptic genus is
calculated for the line bundle twisted chiral de Rham complex on a compact
smooth toric manifold and K3 hypersurface in \mathbb{P}^{3} . Then we twist
chiral de Rham complex by sheaves localized on positive codimension
submanifolds in \mathbb{P}^{2} and calculate in each case the elliptic genus.
In the last example the elliptic genus of chiral de Rham complex on
\mathbb{P}^{2} twisted by SL(N) vector bundle with instanton number k is
calculated. In all cases considered we find the infinite tower of open string
oscillator contributions of the corresponding bound state of D-branes and
identify directly the open string boundary conditions and D-brane charges.
