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.

中文翻译：

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超对称翘曲共形场理论

在这项工作中，我们研究了二维超对称翘曲共形场理论。我们表明对称增强的霍夫曼-斯特罗明格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，假设膨胀谱是离散的，具有两个平移不变性和手性标度对称性的二维场论可以增强局部对称性和非负。与纯玻色子情况类似，有两种极小模型，一种是$N=(1,0)$超对称共形场论，另一种是$N=1$超对称翘曲共形场论（SWCFT）。我们研究 SWCFT 的性质，包括代数的表示、状态空间和超原色的相关函数。