Topological heterotic rings
Topological heterotic rings
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拓扑杂优势环
DOI：
10.4310/atmp.2006.v10.n5.a2
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发表时间：
2005
影响因子：
1.5
通讯作者：
M. Ernebjerg
中科院分区：
文献类型：
--
作者：
A. Adams;J. Distler;M. Ernebjerg
我们证明了 (0,2) 理论中拓扑环的存在，其中包含非反常左移 U(1) 电流，拓扑环可能会被扭曲。虽然扭曲模型不是拓扑的，但它们的地面算子在非奇异 OPE 下形成一个环，该环在 (2,2) 点处简化为 (a,c) 或 (c,c) 环，并在大半径处简化为经典束上同调环，定义远离这些特殊位点的量子束上同调。在 Calabi-Yau 紧化的特殊情况下，如果全纯丛的秩小于八，则这些环被证明在模空间上全局存在。
We prove the existence of topological rings in (0,2) theories containing non-anomalous left-moving U(1) currents by which they may be twisted. While the twisted models are not topological, their ground operators form a ring under non-singular OPE which reduces to the (a,c) or (c,c) ring at (2,2) points and to a classical sheaf cohomology ring at large radius, defining a quantum sheaf cohomology away from these special loci. In the special case of Calabi-Yau compactifications, these rings are shown to exist globally on the moduli space if the rank of the holomorphic bundle is less than eight.