Line bundle twisted chiral de Rham complex, chiral Riemann-Roch formula and D-branes on toric manifolds.
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| Title: | Line bundle twisted chiral de Rham complex, chiral Riemann-Roch formula and D-branes on toric manifolds. |
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| Authors: | Parkhomenko, S. spark@itp.ac.ru |
| Source: | JETP Letters. Mar2014, Vol. 99 Issue 1, p42-46. 5p. |
| Subjects: | Chirality, Riemann-Roch theorems, Mathematical formulas, D-branes, Manifolds (Mathematics), Numerical calculations |
| 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. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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