论文标题
QFT和拓扑二维：$ sl（2，{\ bbb r}）$ - 对称和de Sitter Universe
QFT and topology in two dimensions: $SL(2,{\Bbb R})$-symmetry and the de Sitter universe
论文作者
论文摘要
我们研究了双重覆盖的$ \ widetilde {ds} _ {2} $的波斯量量子场理论，该{2} $ of 2维固有宇宙，被识别为$ sl $ sl（2，{\ bbb r}）$的coset空间。后者有效地作用于$ \ widetilde {ds} _ {2} $，并且可以解释为相对性组。歧管与标准与保姆Spacetime $ {DS} _2 $相同;它是全球双曲线，地球上的完整，惯性观察者看到与标准一层情况相同的分叉杀伤范围。不同的全局洛伦兹结构会导致两个模型之间的巨大差异。我们对所有$ sl（2，{\ bbb r}）$ - INVERIANT两点功能进行了分类，并表明：1）没有Hawking-Gibbons温度； 2）没有质量小于$ 1/2r $的Klein-Gordon方程的协变田理论，即互补场消失。
We study bosonic Quantum Field Theory on the double covering $\widetilde{dS}_{2}$ of the 2-dimensional de Sitter universe, identified to a coset space of the group $SL(2,{\Bbb R})$. The latter acts effectively on $\widetilde{dS}_{2}$ and can be interpreted as it relativity group. The manifold is locally identical to the standard the Sitter spacetime ${dS}_2$; it is globally hyperbolic, geodesically complete and an inertial observer sees exactly the same bifurcate Killing horizons as in the standard one-sheeted case. The different global Lorentzian structure causes however drastic differences between the two models. We classify all the $SL(2,{\Bbb R})$-inveriant two-point functions and show that: 1) there is no Hawking-Gibbons temperature; 2) there is no covariant field theory solving the Klein-Gordon equation with mass less than $1/2R$ , i.e. the complementary fields go away.
