论文标题
用$ f_ {24} $有趣
Fun with $F_{24}$
论文作者
论文摘要
我们研究了$ f_ {24} $的一些特殊功能，holomorphic $ c = 12 $超符合野外理论（SCFT）由24个免费手法费米子给出。我们在$ f_ {24} $上构建了八个不同的“物理”状态的超级级别的superalgebras，我们证明它们都具有borcherds-kac-kac-moody superalgebras的结构。这产生了这样一个超级甲虫的新例子。这些模型取决于$ f_ {24} $上$ \ Mathcal {n} = 1 $ supercurrent的选择，并在dimension 24的半粘合代数上标记了可接受的选择。我们还可以讨论$ f_ {24} $的$ f_ {24} $，并如何通过此类超级流量获得。 $ \ Mathcal {n} = 1 $基于$ e_8 $ lattice的手性CFT的超对称版本。
We study some special features of $F_{24}$, the holomorphic $c=12$ superconformal field theory (SCFT) given by 24 chiral free fermions. We construct eight different Lie superalgebras of "physical" states of a chiral superstring compactified on $F_{24}$, and we prove that they all have the structure of Borcherds-Kac-Moody superalgebras. This produces a family of new examples of such superalgebras. The models depend on the choice of an $\mathcal{N}=1$ supercurrent on $F_{24}$, with the admissible choices labeled by the semisimple Lie algebras of dimension 24. We also discuss how $F_{24}$, with any such choice of supercurrent, can be obtained via orbifolding from another distinguished $c=12$ holomorphic SCFT, the $\mathcal{N}=1$ supersymmetric version of the chiral CFT based on the $E_8$ lattice.
