Chiral de Rham complex and the half-twisted sigma-model
Chiral de Rham complex and the half-twisted sigma-model
复制标题
手性德拉姆复合体和半扭曲西格玛模型
DOI：
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发表时间：
2005
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通讯作者：
A. Kapustin
中科院分区：
文献类型：
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作者：
A. Kapustin
在任何卡-丘流形X上，我们可以定义手征N=2超共形场论的某个层，称为X的手征de Rham复形。它只依赖于X的复杂结构，其局部结构由简单的自由场理论描述。我们证明，这层的上同调可以用E定义的半扭曲西格玛模型的无限体积极限来识别。维滕十多年前。我们还表明，半扭曲模型的扰动子是独立的Kahler模的世界片微扰理论中的所有订单，和手征的德拉姆复杂的关系可以违反只有世界片瞬子。
On any Calabi-Yau manifold X one can define a certain sheaf of chiral N=2 superconformal field theories, known as the chiral de Rham complex of X. It depends only on the complex structure of X, and its local structure is described by a simple free field theory. We show that the cohomology of this sheaf can be identified with the infinite-volume limit of the half-twisted sigma-model defined by E. Witten more than a decade ago. We also show that the correlators of the half-twisted model are independent of the Kahler moduli to all orders in worldsheet perturbation theory, and that the relation to the chiral de Rham complex can be violated only by worldsheet instantons.