# The Global Sections of Chiral de Rham Complexes on Compact Ricci-Flat Kähler Manifolds

@article{Song2018TheGS, title={The Global Sections of Chiral de Rham Complexes on Compact Ricci-Flat K{\"a}hler Manifolds}, author={Bailin Song}, journal={arXiv: Quantum Algebra}, year={2018} }

The space of the global sections of chiral de Rham complex on a compact Ricci-flat K\"ahler manifold is calculated and it is expressed as an invariant subspace of a $\beta\gamma-bc$ system under the action of certain Lie algebra.

## 3 Citations

Chiral de Rham complex on the upper half plane and modular forms.

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- 2020

For any congruence subgroup $\Gamma$, we study the vertex operator algebra $\Omega^{ch}(\mathbb H,\Gamma)$ constructed from the $\Gamma$-invariant global sections of the chiral de Rham complex on the…

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This is the first in a series of papers on standard monomial theory and invariant theory of arc spaces. For any algebraically closed field K , we construct a standard monomial basis for the arc space…

INVARIANT SUBALGEBRAS OF THE SMALL 𝒩 = 4 SUPERCONFORMAL ALGEBRA

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Various aspects of orbifolds and cosets of the small $\mathcal{N}=4$ superconformal algebra are studied. First, we determine minimal strong generators for generic and specific levels. As a corollary,…

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