Is there supersymmetric Lee-Yang fixed point in three dimensions?
Is there supersymmetric Lee-Yang fixed point in three dimensions?
复制标题
三维空间中是否存在超对称李杨不动点？
DOI：
10.1142/s0217751x21501761
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发表时间：
2021
影响因子：
1.6
通讯作者：
Nakayama Yu
中科院分区：
文献类型：
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作者：
P. Butti;M. Garcia Perez;A. Gonzalez-Arroyo;K-I. Ishikawa;M. Okawa;Nakayama Yu
超对称Lee-Yang模型可以说是二维中最简单的相互作用超对称场论，尽管它不是么正的。一个自然的问题是，在高维空间中是否存在类似的超对称Lee-Yang不动点。由于不存在任何对称性(除了费米子数)，所以不可能用微扰展开来接近它。我们发现，截断的共形自举表明，从二维延拓得到的候选不动点在三维以下湮没，这意味着三维不存在超对称的Lee-Yang不动点。我们推测，相应的相变，如果有的话，将是一级相变。
The supersymmetric Lee–Yang model is arguably the simplest interacting supersymmetric field theory in two dimensions, albeit nonunitary. A natural question is if there is an analogue of supersymmetric Lee–Yang fixed point in higher dimensions. The absence of anysymmetry (except for fermion numbers) makes it impossible to approach it by using perturbativeexpansions. We find that the truncated conformal bootstrap suggests that candidate fixed points obtained by the dimensional continuation from two dimensions annihilate below three dimensions, implying that there is no supersymmetric Lee–Yang fixed point in three dimensions. We conjecture that the corresponding phase transition, if any, will be the first-order transition.