论文标题
$ {\ Mathbb t^3}/{\ Mathbb Z_2} $，Nikulin worsitions和M理论的杂种字符串
Heterotic Strings on ${\mathbb T^3}/{\mathbb Z_2}$, Nikulin involutions and M-theory
论文作者
论文摘要
我们首先描述了在光滑，平坦的3个manifold $ {\ mathbb t^3}/{\ Mathbb Z_2} $上的平滑，平坦的3个manifold $ {\ Mathbb Z_2} $上压实的十维异质超级的低能动力学，而无需超对称性，并解释了它是如何由平坦的杂音表田引起的。半古典理论既有非s骨真空吸尘器的库仑和希格斯分支。然后，我们将精确的世界表格描述作为$ \ Mathbb t^3 $的非对称Orbifolds，其中Orbifold Generator涉及Nikulin nikulin dual-dumplectic Intivution $θ$均匀的自dual lattice $γ__{（19,3,3）} $。一路上，我们将我们的发现与$ \ text {k3}/θ$上的M理论进行了简要的比较。我们的构建提供了半古典场理论模量空间的新颖CFT描述。特别是，晶格$ i \ subsetγ_ {（19,3）} $ signature $（19-s，1）$中的Wilson Line参数在$θ$下是不变的，并且在其正交补充$ N $中，分别对应于Coulomb和Higgs Branch Moduli。希格斯和库仑分支之间存在丰富的过渡模式，我们使用世界表理论描述了这些模式。
We first describe the low energy dynamics of ten dimensional heterotic supergravity compactified on the smooth, flat 3-manifold ${\mathbb T^3}/{\mathbb Z_2}$, without supersymmetry, and explain how it arises from flat heterotic gauge fields. The semi-classical theory has both Coulomb and Higgs branches of non-supersymmetric vacua. We then give an exact worldsheet description as asymmetric orbifolds of $\mathbb T^3$, where the orbifold generator involves a Nikulin non-symplectic involution $θ$ of the even self-dual lattice $Γ_{(19,3)}$. Along the way we briefly compare our findings with M-theory on $\text{K3}/θ$. Our construction gives a novel CFT description of the semi-classical field theory moduli space. In particular, the Wilson line parameters in the lattice $I\subset Γ_{(19,3)}$ of signature $(19-s,1)$ which is invariant under $θ$, and in its orthogonal complement $N$, correspond respectively to Coulomb and Higgs branch moduli. There is a rich pattern of transitions amongst Higgs and Coulomb branches which we describe using the worldsheet theory.
