Anomaly cancellation in the topological string

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
K. Costello, Si Li
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引用次数: 24

Abstract

We describe the coupling of holomorphic Chern-Simons theory at large N with Kodaira-Spencer gravity. We explain a new anomaly cancellation mechanism at all loops in perturbation theory for open-closed topological B-model. At one loop this anomaly cancellation is analogous to the Green-Schwarz mechanism. As an application, we introduce a type I version of Kodaira-Spencer theory in complex dimensions 3 and 5. In complex dimension 5, we show that it can only be coupled consistently at the quantum level to holomorphic Chern-Simons theory with gauge group SO(32). This is analogous to the Green-Schwarz mechanism for the physical type I string. This coupled system is conjectured to be a supersymmetric localization of type I string theory. In complex dimension 3, the required gauge group is SO(8).
拓扑字符串中的异常消除
我们描述了大N下全纯chen - simons理论与Kodaira-Spencer引力的耦合。我们解释了开闭拓扑b模型在微扰理论中所有环上的一种新的异常抵消机制。在一个循环中,这种异常抵消类似于格林-施瓦茨机制。作为应用,我们引入了复杂3维和5维的Kodaira-Spencer理论的I型版本。在复维5中,我们证明了它只能在量子水平上一致耦合到具有规范群SO的全纯chen - simons理论(32)。这类似于物理类型I弦的格林-施瓦茨机制。该耦合系统被推测为I型弦理论的超对称局域化。在复杂尺寸3中,所需的量规组为SO(8)。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Advances in Theoretical and Mathematical Physics
Advances in Theoretical and Mathematical Physics 物理-物理:粒子与场物理
CiteScore
2.20
自引率
6.70%
发文量
0
审稿时长
>12 weeks
期刊介绍: Advances in Theoretical and Mathematical Physics is a bimonthly publication of the International Press, publishing papers on all areas in which theoretical physics and mathematics interact with each other.
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