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- Title
Line bundle twisted chiral de Rham complex, chiral Riemann-Roch formula and D-branes on toric manifolds.
- Authors
Parkhomenko, S.
- Abstract
I present the results of the elliptic genus calculations in various examples of twisted chiral de Rham complex on one- and two-dimensional toric compact manifolds. The explicit calculations are made for line bundle twisted chiral de Rham complex on ℙ, ℙ and Hirzebruch surface. Based on these results I propose the elliptic genus expression of the bundle twisted chiral de Rham complex for general smooth compact two dimensional toric manifold. The expression resembles Riemann-Roch formula and coincides with the later in certain limit. I interpret the result in terms of infinite tower of open string oscillator contributions and identify directly the open string boundary conditions of the corresponding bound state of D-branes.
- Subjects
CHIRALITY; RIEMANN-Roch theorems; MATHEMATICAL formulas; D-branes; MANIFOLDS (Mathematics); NUMERICAL calculations
- Publication
JETP Letters, 2014, Vol 99, Issue 1, p42
- ISSN
0021-3640
- Publication type
Article
- DOI
10.1134/S0021364014010081