AdS不变理论中的量子态
Quantum states in an AdS-invariant theory
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中文总结 AI 辅助
本文指出AdS量子理论中基本粒子描述与传统方法不同,因Cartan子代数秩为2需考虑依赖于IRs算子本征值的元素,并强调现有AdS应用(如AdS/QCD)未纳入这些非常规性质。
中文摘要 AI 辅助
我们注意到,反德西特(AdS)量子理论中对基本粒子的描述与标准方法截然不同。由于AdS代数的Cartan子代数的秩为2,因此有必要仅考虑那些显式依赖于代数不可约表示(IRs)中算子本征值的元素。在文献中,AdS对称性被广泛用于各种量子应用,例如AdS/QCD。然而,此类框架通常未考虑本文所研究的AdS代数IRs的非常规性质。
英文摘要
We note that the description of elementary particles in anti-de Sitter (AdS) quantum theory differs radically from standard approaches. Since the Cartan subalgebra of the AdS algebra has rank 2, it is necessary to consider only those elements that explicitly depend on the eigenvalues of operators in the irreducible representations (IRs) of the algebra. In the literature, AdS symmetry is widely invoked in various quantum applications, such as AdS/QCD. However, such frameworks typically do not take into account the unconventional properties of the AdS algebra IRs investigated in the present paper.
发表机构
- Universität Tübingen(蒂宾根大学)
- ANID(智利国家研究与创新发展局)
- Tomsk State University(托木斯克国立大学)
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