超越Landau-Ginzburg范式和超对称性的量子相变
Quantum phase transitions beyond the Landau-Ginzburg paradigm and supersymmetry
摘要：
我们在凝聚态文献中的量子相变在正方形晶格反铁磁体的研究之间的连接，并在2+1维阿贝尔超对称规范理论的粒子理论文献的结果。特别是，我们指出，超对称U（1）规范理论（粒子含量类似，但不完全相同，掺杂反铁磁体的理论）提供了严格的例子，量子相变，不遵守朗道-金兹伯格-威尔逊范式（通常被称为过渡实现“解除临界”）。我们也使超对称镜像对称性和凝聚态粒子涡旋对偶之间的连接。
英文摘要：
We make connections between studies in the condensed matter literature on quantum phase transitions in square lattice antiferromagnets, and results in the particle theory literature on abelian supersymmetric gauge theories in 2+1 dimensions. In particular, we point out that supersymmetric U(1) gauge theories (with particle content similar, but not identical, to those of theories of doped antiferromagnets) provide rigorous examples of quantum phase transitions which do not obey the Landau-Ginzburg-Wilson paradigm (often referred to as transitions realizing "deconfined criticality"). We also make connections between supersymmetric mirror symmetries and condensed matter particle-vortex dualities.
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