AI 中文总结
研究反常介导的超对称破缺与\(\mathcal{N}=2\)超对称理论耦合,微扰下\(\mathcal{N}=1\)超对称保留,非微扰打破超对称,红外描述有类似\(\mathcal{N}=1\)情况,超对称完全破缺,真空在特定条件下改变,揭示其与非微扰效应耦合对理论的影响。
AI 中文摘要
我们研究反常介导的超对称破缺(AMSB)与具有\(SU(2)\)规范群的\(\mathcal{N}=2\)超对称理论的耦合。微扰地,在紫外描述中\(\mathcal{N}=1\)超对称(SUSY)得以保留,AMSB项等同于伴随手征多重态的超对称质量项。然而,非微扰瞬子贡献会完全打破超对称。在红外描述中,具有AMSB的理论在定性上与其\(\mathcal{N}=1\)类似物相似,呈现磁单极凝聚和禁闭。有效拉格朗日量完全打破超对称,凝聚值与\(\mathcal{N}=1\)类似物不同。在合理物理假设下,当超对称破缺尺度穿过强耦合尺度时,真空必须变为微扰相同的\(\mathcal{N}=1\)保持变形的真空。这一变化由有效弱耦合红外理论原则上无法描述的效应引起,不是相变,且在任何有限超对称破缺尺度下真空似乎处于同一普适类。这项工作突出了AMSB与非微扰效应耦合改变理论真空场构型和全局对称性的微妙方式。
英文摘要
We study the coupling of anomaly mediated supersymmetry breaking (AMSB) to $\mathcal{N}=2$ supersymmetric theories with $SU(2)$ gauge group. Perturbatively, $\mathcal{N}=1$ supersymmetry (SUSY) is preserved in the UV description with the AMSB terms being equivalent to a supersymmetric mass term for the adjoint chiral multiplet, as considered in the original Seiberg-Witten papers. We show, however, that nonperturbative instanton contributions break supersymmetry completely. In the IR description, the theory with AMSB is qualitatively similar to its $\mathcal{N}=1$ analog, exhibiting monopole condensation and confinement. However, the effective Lagrangian breaks supersymmetry completely, and the values of the condensates are different from their $\mathcal{N}=1$ analogs. Under physically reasonable assumptions, it can be shown that the vacua must change to those of the perturbatively identical $\mathcal{N}=1$-preserving deformation as the SUSY-breaking scale crosses the strong coupling scale. This change must be caused by effects that cannot in principle be described within the effective weakly coupled IR theory. It is not a phase transition, and the vacua appear to lie in the same universality class at any finite SUSY-breaking scale. Nonetheless, this work highlights the subtle manner in which AMSB coupling to nonperturbative effects can change the vacuum field configuration and the global symmetries of a theory.
Comments50 pages main body + 20 pages of appendices and references, 5 figures