Line bundle twisted chiral de Rham complex and bound states of Dbranes on toric manifolds
Abstract
In this note we calculate elliptic genus in various examples of twisted chiral de Rham complex on twodimensional toric compact manifolds and CalabiYau 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 P^{3}. Then we twist chiral de Rham complex by sheaves localized on positive codimension submanifolds in P^{2} and calculate in each case the elliptic genus. In the last example the elliptic genus of chiral de Rham complex on P^{2} twisted by SL(N) vector bundle with instanton number k is calculated. In all the cases considered we find the infinite tower of open string oscillator contributions and identify directly the open string boundary conditions of the corresponding bound state of Dbranes.
 Publication:

Nuclear Physics B
 Pub Date:
 April 2014
 DOI:
 10.1016/j.nuclphysb.2014.02.003
 arXiv:
 arXiv:1307.0080
 Bibcode:
 2014NuPhB.881..233P
 Keywords:

 High Energy Physics  Theory
 EPrint:
 14 pages, LaTex, some comments and references added