Notes on Vanishing Cosmological Constant without Bose-Fermi Cancellation
arXiv:2111.09663 · doi:10.1093/ptep/ptac061
Abstract
In this article we discuss how one can systematically construct the point particle theories that realize the vanishing one-loop cosmological constant without the 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 the 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 constructions of the models based on the toroidal asymmetric orbifolds with the Lie algebra lattices (Englert-Neveu lattices) by making use of the analysis given in [26].
30 pages, no figures; v2: clarifications added; v3: matches published version
References in corpus (7)
- Towards a Non-Supersymmetric String Phenomenology
- Non-supersymmetric heterotic model building
- Super no-scale models in string theory
- Universality of Gauge Thresholds in Non-Supersymmetric Heterotic Vacua
- Stability, enhanced gauge symmetry and suppressed cosmological constant in 9D heterotic interpolating models
- Lie algebra lattices and strings on T-folds
- Non-SUSY Gepner Models with Vanishing Cosmological Constant