标题： 手征$QED_2$在增广超场方法中的法捷耶夫异常 显示英文标题

标题： Chiral $QED_2$ with Faddeevian anomaly in the context of the augmented superfield approach

摘要： 我们考虑了在$(1+1)$维度下具有广义 Fadeevian 异常的Chiral Schwinger模型的玻色化版本，该模型既没有洛伦兹协变结构也没有规范不变性。通过引入Wess-Zumino场使其具有规范不变性后，BRST嵌入成为可能。对于这个$(1+1)$维度的异常模型，我们使用Bonora-Tonin超场形式来构建幂零且绝对反交换的反-BRST以及反-co-BRST对称性变换。我们利用定义在(2, 2)-维超流形上的超场规范不变约束以及对偶水平性准则。我们提供了与上述幂零对称性相关的守恒荷及其几何解释。反-BRST和反-co-BRST荷的幂零性和总反交换性也得到了验证。此外，在增广超场形式的背景下，已确认反-BRST和反-co-BRST荷是幂零且完全反交换的。本研究的一个显著特点是应用了对偶水平性要求以获得适当的反-co-BRST对称性。 显示英文摘要

摘要： We consider the bosonized version of the Chiral Schwinger model in $(1+1)$ dimension with the generalized Faddeevian anomaly, which does not have the Lorentz covariance structure and does not have gauge invariance either. BRST embedding is made possible after making it gauge invariant by the incorporation of Wess-Zumino field. For this $(1+1)$ dimensional anomalous model, we use the Bonora-Tonin superfield formalism to construct the nilpotent and absolutely anti-commuting anti-BRST as well as anti-co-BRST symmetry transformations. We use the gauge-invariant constraints on the superfields defined onto the (2, 2)-Dimensional supermanifold along with the dual horizontality criteria. We provide the conserved charges linked to the aforementioned nilpotent symmetries as well as their geometric interpretation. The anti-BRST and anti-co-BRST charges' nilpotency and total anticommutativity. It has also been confirmed that, in the context of the augmented superfield formalism, the anti-BRST and anti-co-BRST charges are nilpotent and absolutely anti-commutative. One notable aspect of the current study is the application of the dual-horizontality requirement to obtain appropriate anti-co-BRST symmetry