论文标题

在$ 4D $的非壳超级领域拉格朗日公式中

On the off-shell superfield Lagrangian formulation of $4D$, $\mathcal{N}{=}\,1$ supersymmetric infinite spin theory

论文作者

Buchbinder, I. L., Fedoruk, S. A., Isaev, A. P., Krykhtin, V. A.

论文摘要

我们开发了免费的$ 4D的完整脱壳拉格朗日描述,{\ cal n} = 1 $无限旋转的超对称理论。玻感和费米原田是根据带有点缀和未插入指数的自旋贴田配制的。在BRST方法中得出了进入壳上超对称模型的相应的玻色粒和费米尼无限自旋场。该超对称模型的拉格朗日是根据复杂的无限自旋骨场和无限旋转的纤维基因韦伊尔场而撰写的。壳上超对称的拉格朗日涉及的田地可以被视为六种无限旋转手性和抗酸性多重的组成部分。这些多重组扩展到相应的无限旋转手性和抗酸病毒的超场,因此在组件中包含两个手性和抗近古的超级场,其中仅包含Lagrangian配方所需的辅助场的Infinite Spin Supermultiplet和Extra Four Four tour Four Fours Multimultiplet和Extra Forth supermultiplets的基本领域。超级场地的拉格朗日是根据这六种手性和抗裂式supefields构建的,我们表明,这种超级场lagrangian的组件形式与先前发现的组件超对称性拉格朗日人完全吻合后,消除了添加到构造(anti)chiral chiral chiral Superfields之后。

We develop a complete off-shell Lagrangian description of the free $4D, {\cal N}=1$ supersymmetric theory of infinite spin. Bosonic and fermionic fields are formulated in terms of spin-tensor fields with dotted and undotted indices. The corresponding Lagrangians for bosonic and fermionic infinite spin fields entering into the on-shell supersymmetric model are derived within the BRST method. Lagrangian for this supersymmetric model is written in terms of the complex infinite spin bosonic field and infinite spin fermionic Weyl field subject to supersymmetry transformations. The fields involved into the on-shell supersymmetric Lagrangian can be considered as components of six infinite spin chiral and antichiral multiplets. These multiplets are extended to the corresponding infinite spin chiral and antichiral superfields so that two chiral and antichiral superfields contain among the components the basic fields of an infinite spin supermultiplet and extra four chiral and antichiral superfields containing only the auxiliary fields needed for the Lagrangian formulation. The superfield Lagrangian is constructed in terms of these six chiral and antichiral supefields, and we show that the component form of this superfield Lagrangian exactly coincides with the previously found component supersymmetric Lagrangian after eliminating the component fields added to construct (anti)chiral superfields.

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