论文标题
$α$ -VACUA中的符号费用的单位性，中央电荷负。
Unitarity of Symplectic Fermion in $α$-vacua with Negative Central Charge
论文作者
论文摘要
我们研究具有抗周期边界条件的二维游离符号费用。该模型具有幼稚内部产品的负规范状态。可以通过引入新的内部产品来解决这个负标准问题。我们证明，这种新的内部产品遵循路径整体形式主义与操作员形式主义之间的联系。该模型具有负中央电荷，$ C = -2 $，我们阐明了CFT $ _2 $带有负中央电荷的$ _2 $如何具有非负标准。我们介绍了$α$ -VACUA，其中哈密顿量似乎是非热的。尽管有非热性，我们发现能量谱是真实的。我们还将相关函数与$α$ -VACUA与DE Sitter空间的相关函数进行了比较。
We study the two-dimensional free symplectic fermion with anti-periodic boundary condition. This model has negative norm states with naive inner product. This negative norm problem can be cured by introducing a new inner product. We demonstrate that this new inner product follows from the connection between the path integral formalism and the operator formalism. This model has negative central charge, $c=-2$, and we clarify how CFT$_2$ with negative central charge can have the non-negative norm. We introduce $α$-vacua in which the Hamiltonian is seemingly non-Hermitian. In spite of non-Hermiticity we find that the energy spectrum is real. We also compare a correlation function with respect to the $α$-vacua with that of the de Sitter space.
