论文标题

SW(3/2,2)G $ _2 $,SPIN(7)和N = 2 CFTS中的亚​​对称性

SW(3/2,2) subsymmetry in G$_2$, Spin(7) and N=2 CFTs

论文作者

Fiset, Marc-Antoine

论文摘要

光谱流,时空超对称性,拓扑曲折,与边缘变形有关的手性原则,镜像对称性:这些是calabi-yau歧管上字符串的世界表n = 2超符号对称性的重要后果。在各种确定性的确定性上,当目标分别为7D或8D时,这些功能分别为7D或8D,分别具有特殊的全能G $ _2 $或SPIN(7)。我们表明,这些不仅仅是类比。我们表现​​出潜在的对称性SW(3/2,2),在后者的情况下和K3目标空间之间建立了桥梁。回顾SW(3/2,2)的统一表示,使我们推测该代数在弦理论压缩中的进一步作用以及拓扑扭曲版本的SW(3/2,2)理论的存在。

Spectral flow, spacetime supersymmetry, topological twists, chiral primaries related to marginal deformations, mirror symmetry: these are important consequences of the worldsheet N=2 superconformal symmetry of strings on Calabi-Yau manifolds. To various degrees of certainty, these features were also established when the target is either 7d or 8d with exceptional holonomy G$_2$ or Spin(7) respectively. We show that these are more than mere analogies. We exhibit an underlying symmetry SW(3/2,2) making a bridge between the latter cases and K3 target spaces. Reviewing unitary representations of SW(3/2,2) leads us to speculate on further roles of this algebra in string theory compactifications and on the existence of topologically twisted versions of SW(3/2,2) theories.

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