论文标题
杂质全球异常和扭转指数
Heterotic global anomalies and torsion Witten index
论文作者
论文摘要
我们通过考虑一般的二维$ \ MATHCAL {n} =（0,1）$ supersymmetrical量子场理论（SQFTS）来研究一般杂弦理论中异常的结构，而无需假设保形不变性或正确的中心电荷。首先，我们概括了维滕（Witten）引入的$ b $ field的确切概念。然后，我们通过SQFTS的不变性表达目标空间异常。扰动异常对应于某些SQFTS的Witten索引，而全局异常对应于Witten索引的扭转版本。扭转指数给出了拓扑模块形式建议的一些SQFT的不变性，并且对于与实际杂弦理论相关的情况，预计将为零。
We study the structure of anomalies in general heterotic string theories by considering general 2-dimensional $\mathcal{N}=(0,1)$ supersymmetric quantum field theories (SQFTs), without assuming conformal invariance nor the correct central charges. First we generalize the precise notion of the $B$-field introduced by Witten. Then we express the target space anomalies by invariants of SQFTs. Perturbative anomalies correspond to the Witten index of some class of SQFTs, while global anomalies correspond to a torsion version of the Witten index. The torsion index gives some of the invariants of SQFTs suggested by topological modular forms, and is expected to be zero for the cases that are relevant to actual heterotic string theories.
