标题： 具有宇宙常数的超对称极小宇宙空间上的量子态 显示英文标题

标题： Quantum states on supersymmetric minisuperspace with a cosmological constant

摘要： 在具有非零宇宙常数的量子超引力中研究了空间齐次模型。 通过在空间齐次3-流形上的Chern-Simons作用量，得到了超对称性和洛伦兹约束的一类精确非平凡解，既在Ashketar变量中得到解，该解在现实条件方面是显式的，又更具体地在四维标架表示中，解以积分表示形式给出，仅由积分路径不同而有所区别。 在宇宙常数趋于零的极限情况下，恢复了之前在四维标架表示中对Bianchi IX型模型的精确解，并发现了额外的不对称解。 显示英文摘要

摘要： Spatially homogeneous models in quantum supergravity with a nonvanishing cosmological constant are studied. A class of exact nontrivial solutions of the supersymmetry and Lorentz constraints is obtained in terms of the Chern-Simons action on the spatially homogeneous 3-manifold, both in Ashketar variables where the solution is explicit up to reality conditions, and, more concretely, in the tetrad-representation, where the solutions are given as integral representations differing only by the contours of integration. In the limit of a vanishing cosmological constant earlier exact solutions for Bianchi type IX models in the tetrad-representation are recovered and additional asymmetric solutions are found.