环面簇切丛形变的量子层上同调的物理性质
Physical aspects of quantum sheaf cohomology for deformations of tangent bundles of toric varieties
摘要：
在这篇文章中，我们将概述计算的量子层上同调的变形的切丛的环面品种，这些变形可描述为变形的环面欧拉序列。量子层上同调是量子上同调的一种杂化模拟，是层上同调群上经典乘积的量子变形，它计算杂化弦计算中对（27*）^3耦合模拟的非微扰修正。以前的计算依赖于基于物理的GLSM技术或计算密集型的蛮力Cech上同调技术。本文介绍的方法大大简化了数学计算，并得出更一般的结果比以前获得的GLSM技术。我们将概述最近的结果（严格的证明将出现在其他地方）。
英文摘要：
In this paper, we will outline computations of quantum sheaf cohomology for deformations of tangent bundles of toric varieties, for those deformations describable as deformations of toric Euler sequences. Quantum sheaf cohomology is a heterotic analogue of quantum cohomology, a quantum deformation of the classical product on sheaf cohomology groups, that computes nonperturbative corrections to analogues of (27*)^3 couplings in heterotic string computations. Previous computations have relied on either physics-based GLSM techniques or computation-intensive brute-force Cech cohomology techniques. This paper describes methods for greatly simplifying mathematical computations, and derives more general results than previously obtainable with GLSM techniques. We will outline recent results (rigorous proofs will appear elsewhere).
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