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<p>The coexistence of Supersymmetry (SUSY) and the Spin-Statistics Theorem (SST) poses a challenge, given their seeming incompatibility. While SUSY connects particles with distinct spins, SST links particle’s spin to their statistics. We propose a solution to this puzzle: both spin and SST may emerge as low-energy phenomena. To do so, we look at SUSY breaking at lower energy scales, exploring if this mechanism aligns with the concept of emergence. The paper presents a comprehensive review of the SUSY-SST tension, a philosophical introduction to SUSY-breakig, and an argument for spin and SST emergence within SUSY. Overall, our aim is to show how SUSY and SST can coexist in the same theory and thus deepen our understanding of SUSY quantum field theory.</p>

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Bridging supersymmetry and the spin-statistics theorem: a quest for emergence

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年2月19日

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  • Enrico Cinti,
  • Marco Sanchioni

摘要

The coexistence of Supersymmetry (SUSY) and the Spin-Statistics Theorem (SST) poses a challenge, given their seeming incompatibility. While SUSY connects particles with distinct spins, SST links particle’s spin to their statistics. We propose a solution to this puzzle: both spin and SST may emerge as low-energy phenomena. To do so, we look at SUSY breaking at lower energy scales, exploring if this mechanism aligns with the concept of emergence. The paper presents a comprehensive review of the SUSY-SST tension, a philosophical introduction to SUSY-breakig, and an argument for spin and SST emergence within SUSY. Overall, our aim is to show how SUSY and SST can coexist in the same theory and thus deepen our understanding of SUSY quantum field theory.