含费米子的$\mathsf{CP}^{n-1}$-模型:新面貌

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Advances in Theoretical and Mathematical Physics Pub Date : 2020-09-09 DOI:10.4310/ATMP.2022.v26.n2.a2

D. Bykov

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引用次数: 0

摘要

我们详细阐述了$\mathsf{CP^{n-1}}$ sigma模型的公式，并将费米子作为测量的Gross-Neveu模型。这种方法允许将模型的超相空间识别为超辛商。潜在的手性规范异常同样受到玻色子和费米子的贡献，并且与相空间的性质有关。在此过程中，我们证明了世界表超对称模型是目标空间超对称模型的超辛商。简要讨论了其他颤振超变种的可能推广。

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The $\mathsf{CP}^{n-1}$-model with fermions: a new look

We elaborate the formulation of the $\mathsf{CP^{n-1}}$ sigma model with fermions as a gauged Gross-Neveu model. This approach allows to identify the super phase space of the model as a supersymplectic quotient. Potential chiral gauge anomalies are shown to receive contributions from bosons and fermions alike and are related to properties of this phase space. Along the way we demonstrate that the worldsheet supersymmetric model is a supersymplectic quotient of a model with target space supersymmetry. Possible generalizations to other quiver supervarieties are briefly discussed.

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来源期刊

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

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.