发表机构
Harvard University; Center of Mathematical Sciences and Applications（哈佛大学; 数学科学与应用中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过顶点代数胚构造余切Yangian的手性扩展，恢复已知余切Yangian，研究非零级扩展与余积，并利用两种拟共形结构计算共形块，联系李代数胚同调与迷你扭量几何。
AI 中文摘要
我们利用顶点代数胚构造了余切Yangian的手性扩展。在零级，该构造产生一个具有相容余积的顶点代数，其Zhu约化恢复了Abedin和Niu的余切Yangian。我们还构造了非零级的顶点代数扩展，并研究了级加性余积。零级顶点代数具有两种自然的拟共形结构。我们计算了相应的球面单点共形块，并赋予每个块空间由余积诱导的结合积。对于第一种拟共形结构，块空间可与某个李代数胚同调的对偶等同；对于第二种，我们用迷你扭量几何描述块代数及其经典极限。
英文摘要
We construct chiral extensions of the cotangent Yangian using vertex algebroids. At zero level, the construction yields a vertex algebra with a compatible coproduct, whose Zhu reduction recovers the cotangent Yangian of Abedin and Niu. We also construct vertex algebra extensions at non-zero levels and study level-additive coproducts. The zero-level vertex algebra admits two natural quasi-conformal structures. We compute the corresponding sphere one-point conformal blocks and equip each block space with an associative product induced by the coproduct. For the first quasi-conformal structure, the blocks space can be identified with the dual of a certain Lie algebroid homology; for the second, we describe the block algebra and its classical limit in terms of mini-twistor geometry.
Comments60 pages. Comments are welcome!
