论文标题

超对称扭曲的保形场理论

Supersymmetric Warped Conformal Field Theory

论文作者

Chen, Bin, Hao, Peng-xiang, Liu, Yan-jun

论文摘要

在这项工作中,我们在两个维度上研究了超对称扭曲的保形场理论。我们表明,对对称增强的Hofman-Strominger定理可以推广到超对称情况。更准确地说,我们发现在手性超空间$(x^+,þ)$中,这是一种具有两种转换不变性和手性缩放对称性的二维场理论,可以增强局部对称性,这是在膨胀光谱是离散且非对话性的。与纯的骨骼案例相似,有两种最小模型,一种是$ n =(1,0)$ supersmpermatimal -Suppersympricric的共形野外理论,而另一种是$ n = 1 $ $ supersympersymmetry -Metrymmetric warporped condormal field Theories(SWCFT)。我们研究了SWCFT的性质,包括代数的表示,国家空间和超级主体的相关函数。

In this work, we study the supersymmetric warped conformal field theory in two dimensions. We show that the Hofman-Strominger theorem on symmetry enhancement could be generalized to the supersymmetric case. More precisely, we find that within a chiral superspace $(x^+,þ)$, a two-dimensional field theory with two translational invariance and a chiral scaling symmetry can have enhanced local symmetry, under the assumption that the dilation spectrum is discrete and non-negative. Similar to the pure bosonic case, there are two kinds of minimal models, one being $N=(1,0)$ supersymmetric conformal field theories, while the other being $N=1$ supersymmetric warped conformal field theories (SWCFT). We study the properties of SWCFT, including the representations of the algebra, the space of states and the correlation functions of the superprimaries.

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