Notes on Vanishing Cosmological Constant without Bose-Fermi Cancellation
Notes on Vanishing Cosmological Constant without Bose-Fermi Cancellation
复制标题
关于没有玻色-费米对消的宇宙学常数消失的注记
DOI：
10.1093/ptep/ptac061
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发表时间：
2022
影响因子：
3.5
通讯作者：
Y. Sugawara
中科院分区：
文献类型：
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作者：
Y. Satoh;Y. Sugawara
我们讨论如何系统地构建点粒子理论，在没有玻色-费米抵消的情况下实现消失的单环宇宙学常数。我们的构造基于超对称弦真空的不对称（或非几何）轨道折叠。利用它们的配分函数及其模块化特性的构建块，我们构建了可以自然地与某些点粒子理论（包括无限质谱）识别的理论，但不能与弦真空识别。由于每个质量水平上的玻色子和费米子自由度不匹配，它们显然是非超对称的。然而，我们发现，在去除有效起到紫外截止作用的参数后，单环宇宙学常数消失了。作为具体示例，我们利用 Satoh 和 Sukawara (2017) 中给出的分析来演示基于具有李代数格子（Englert-Neveu 格子）的环形不对称轨道折叠的模型的构造
We discuss how one can systematically constructpoint particle theoriesthat realize the vanishing one-loop cosmological constant without Bose–Fermi cancellation. Our construction is based on the asymmetric (or non-geometric) orbifolds of supersymmetric string vacua. Using the building blocks of their partition functions and their modular properties, we construct theories which would be naturally identified with certain point particle theories including infinite mass spectra, butnotwith string vacua. They are obviously non-supersymmetric due to the mismatch of the bosonic and fermionic degrees of freedom at each mass level. Nevertheless, it is found that the one-loop cosmological constant vanishes, after removing the parameter effectively playing the role of the UV cut-off. As concrete examples we demonstrate the construction of models based on toroidal asymmetric orbifolds with Lie algebra lattices (Englert–Neveu lattices) by making use of the analysis given in Satoh and Sugawara (2017)