论文标题
通用的“无旋转歧管上的hooft异常
Generalized 't Hooft anomalies on non-spin manifolds
论文作者
论文摘要
我们研究了$ su（n_c）$量学理论的离散性手性对称性与一般巴里龙 - 彩色味（BCF）背景之间的混合异常，并用$ n_f $ n_f $ dirac fermions in Andertanations $ {\ cal r} _c r} _c $ n $ n $ n $ n $ n $ n_c $ non_c $，on NOM-SPIN上的表述。我们通过打开与费米昂过渡功能一致的一般BCF通量来展示如何在$ \ mathbb {cp}^2 $上研究这些理论。我们考虑了几个详细的示例，并认为与旋转歧管上的非自旋歧管上的异常相匹配，对红外物理的限制更为强（例如〜$ \ $ \ mathbb {t}^4 $）。我们还展示了如何在非旋转歧管上始终如一地制定各种手性量规理论。
We study the mixed anomaly between the discrete chiral symmetry and general baryon-color-flavor (BCF) backgrounds in $SU(N_c)$ gauge theories with $N_f$ flavors of Dirac fermions in representations ${\cal R}_c$ of $N$-ality $n_c$, formulated on non-spin manifolds. We show how to study these theories on $\mathbb{CP}^2$ by turning on general BCF fluxes consistent with the fermion transition functions. We consider several examples in detail and argue that matching the anomaly on non-spin manifolds places stronger constraints on the infrared physics, compared to the ones on spin manifolds (e.g.~$\mathbb{T}^4$). We also show how to consistently formulate various chiral gauge theories on non-spin manifolds.
