PreprintCC0arXiv
Quantum states in an AdS-invariant theory
Abstract
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.
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BibTeX
@misc{lev2026quantum,
title = {{Quantum states in an AdS-invariant theory}},
author = {Felix M. Lev and Valery E. Lyubovitskij},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.37401},
eprint = {2609.37401},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.37401},
note = {CC0},
}
RIS
TY - UNPB
TI - Quantum states in an AdS-invariant theory
AU - Felix M. Lev
AU - Valery E. Lyubovitskij
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.37401
UR - https://arxiv.org/abs/2609.37401
AB - 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.
ER -