Bisognano-Wichmann性质的一个代数条件
An algebraic condition for the Bisognano-Wichmann Property
摘要：
讨论了标准子空间的局部Poincaré协变网的Bisognano-Wichmann性质。我们提出了一个充分的代数条件的协变表示，确保Bisognano-Wichmann和对偶性质，而无需进一步的假设在网上。我们的模块性条件适用于标量有质量和无质量表示的直接积分。我们的结论是，在这些情况下，Bisognano-Wichmann性质是远远弱于分裂性质。此外，我们提出了一类大规模模协变网不满足Bisognano-Wichmann性质。
英文摘要：
The Bisognano-Wichmann property for local, Poincaré covariant nets of standard subspaces is discussed. We present a sufficient algebraic condition on the covariant representation ensuring Bisognano-Wichmann and Duality properties without further assumptions on the net. Our modularity condition holds for direct integrals of scalar massive and massless representations. We conclude that in these cases the Bisognano-Wichmann property is much weaker than the Split property. Furthermore, we present a class of massive modular covariant nets not satisfying the Bisognano-Wichmann property.
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