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Notes on a vanishing cosmological constant without Bose-Fermi cancellation. (English) Zbl 1497.83061

Summary: We discuss how one can systematically construct point particle theories that 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, but not with 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 [the authors, J. High Energy Phys. 2017, No. 2, Paper No. 24, 27 p. (2017; Zbl 1377.83129)].

MSC:

83F05 Relativistic cosmology
81V72 Particle exchange symmetries in quantum theory (general)
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
57R18 Topology and geometry of orbifolds
81T60 Supersymmetric field theories in quantum mechanics
22A26 Topological semilattices, lattices and applications

Citations:

Zbl 1377.83129
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