In this work, we investigate two mechanisms for locating fermions on the brane in a modified teleparallel gravity $f(T,{𝒯})$, where $T$ is the torsion scalar and ${𝒯}$ is the trace of the energy–momentum tensor. The first mechanism is a Yukawa-type minimal coupling between the fermion and the background scalar field. The second mechanism is a nonminimal coupling between the fermion and the torsion. The geometric coupling presents a greater sensitivity to the influence of torsion and to the trace of the energy–momentum tensor.

中文翻译：

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f(T,𝒯 )-膜中的费米子定位机制

在这项工作中，我们研究了在改进的远程平行重力中在膜上定位费米子的两种机制$F(\mathrm{时间},{𝒯}）$， 在哪里$\mathrm{时间}$是扭转标量，${𝒯}$是能量动量张量的迹。第一种机制是费米子和背景标量场之间的汤川型最小耦合。第二种机制是费米子和扭转之间的非最小耦合。几何耦合对扭转的影响和能量动量张量的轨迹表现出更大的敏感性。