论文标题
F理论中B场的尺寸降低
Dimensional Reduction of B-Fields in F-theory
论文作者
论文摘要
我们使用对正常的B场的猜想描述在不良或骨上描述了F理论中IIB B场的尺寸降低。使用分解定理促进计算。我们的许多描述都是新的,我们所有的结果都与已知的物理结果一致。我们还猜想了可正常化的B场的物理框架,并显示出与数学的一致性。 我们将本文奉献给Herb Clemens,钦佩他对复杂代数几何形状的无数基本贡献,以及他对物理F理论的最新兴趣。本文介绍了Herb的三个利益:霍奇理论,代数品种的拓扑结构和F理论,这是我们对他对他在超过五十年中的贡献表示赞赏的合适方式。
We describe the dimensional reduction of the IIB B-fields in F-theory using a conjectured description of normalizable B-fields in terms of perverse sheaves. Computations are facilitated using the Decomposition Theorem. Many of our descriptions are new, and all our results are all consistent with known results in physics. We also conjecture a physical framework for normalizable B-fields and show consistency with mathematics. We dedicate this paper to Herb Clemens, in admiration for his myriad fundamental contributions to complex algebraic geometry, together with his more recent interest in F-theory in physics. This paper deals with three of Herb's interests: Hodge theory, topology of algebraic varieties, and F-theory, and so is a fitting way for us to express our appreciation for his contributions over a period of more than five decades.