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arXiv 2006.04112hep-th
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超对称弯曲共形场论

Supersymmetric Warped Conformal Field Theory

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

摘要:

本文研究二维超对称翘曲共形场论。我们证明了关于对称性增强的Hofman-Strominger定理可以推广到超对称情形。更准确地说,我们发现,在手征超空间$(x^+,þ)$内,具有两个平移不变性和手征标度对称性的二维场论可以有增强的局部对称性,假设膨胀谱是离散的和非负的。与纯玻色子情形类似,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)。我们研究了SWCFT的性质,包括超原色的代数表示、态空间和关联函数。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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