5d super-Yang–Mills theory in 4d superspace, superfield brane operators, and applications to orbifold GUTs
5d super-Yang–Mills theory in 4d superspace, superfield brane operators, and applications to orbifold GUTs
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4d 超空间中的 5d 超杨-米尔斯理论、超场膜算子以及在轨道 GUT 中的应用
DOI：
10.1016/s0550-3213(02)00253-5
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
A. Hebecker
中科院分区：
文献类型：
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作者：
A. Hebecker
推导了 4 维超场的 5 维超对称杨-米尔斯理论的明显规范不变公式。它依赖于 x5 方向上的超对称性和规范协变导数算子。该公式允许通过在 5d 洛伦兹对称性的附加限制下组合不变的 4d 超场表达式来系统地研究高导数算子。在 5d 理论在规范对称性破缺轨道上被压缩的情况下，形式主义可用于简单讨论在不动点的受限对称性下可能不变的膜算子。这与最近构建的高维大统一理论（orbifold GUT）尤其相关。讨论了几种应用，包括质子衰变算子和膜局域质量项。
A manifestly gauge invariant formulation of 5-dimensional supersymmetric Yang–Mills theories in terms of 4d superfields is derived. It relies on a supersymmetry and gauge-covariant derivative operator in the x5direction. This formulation allows for a systematic study of higher-derivative operators by combining invariant 4d superfield expressions under the additional restriction of 5d Lorentz symmetry. In cases where the 5d theory is compactified on a gauge-symmetry-breaking orbifold, the formalism can be used for a simple discussion of possible brane operators invariant under the restricted symmetry of the fixed points. This is particularly relevant to recently constructed grand unified theories in higher dimensions (orbifold GUTs). Several applications, including proton decay operators and brane-localized mass terms, are discussed.