Abstract
In the same spirit as heterotic weight lifting, B-L lifting is a way of replacing the superfluous and ubiquitous U ( 1 ) B – L with something else with the same modular properties, but different conformal weights and ground state dimensions. This method works in principle for all variants of ( 2 , 2 ) constructions, such as orbifolds, Calabi–Yau manifolds, free bosons and fermions and Gepner models, since it only modifies the universal SO ( 10 ) × E 8 part of the CFT. However, it can only yield chiral spectra if the “internal” sector of the theory provides a simple current of order 5. Here we apply this new method to Gepner models. Including exceptional invariants, 86 of them have the required order 5 simple current, and 69 of these yield chiral spectra. Three family spectra occur abundantly.
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