模共轭与超对称性的实现
Modular Conjugation and the Implementation of Supersymmetry
摘要:
任何具有自伴分次KMS泛函的Z_2分次C*-动力系统都可以表示为Z_2分次Hilbert空间上的有界算子的Z_2分次代数,使得后者的分次与泛函相容.模共轭算子在这种重构中起着至关重要的作用。将结果推广到无界分次KMS泛函的稠密域为C*-子代数网的并集的情形。证明了这种无界分次KMS泛函的模是KMS。
英文摘要:
Any Z_2-graded C*-dynamical system with a self-adjoint graded-KMS functional on it can be represented (canonically) as a Z_2-graded algebra of bounded operators on a Z_2-graded Hilbert space, so that the grading of the latter is compatible with the functional. The modular conjugation operator plays a crucial role in this reconstruction. The results are generalized to the case of an unbounded graded-KMS functional having as dense domain the union of a net of C*-subalgebras. It is shown that the modulus of such an unbounded graded-KMS functional is KMS.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。