Abstract
We construct d = 4 , N = 1 orientifolds of Gepner models with just the chiral spectrum of the Standard Model. We consider all simple current modular invariants of c = 9 tensor products of N = 2 minimal models. For some very specific tensor combinations, and very specific modular invariants and orientifold projections, we find a large number of such spectra. We allow for Standard Model singlet (dark) matter and non-chiral exotics. The Chan–Paton gauge group is either U ( 3 ) × Sp ( 2 ) × U ( 1 ) × U ( 1 ) or U ( 3 ) × U ( 2 ) × U ( 1 ) × U ( 1 ) . In many cases the Standard Model hypercharge U ( 1 ) has no coupling to RR 2-forms and hence remains massless; in some of those models the B – L gauge boson does acquire a mass.
Highlights
There are many possible ways in which the Standard Model might emerge from String Theory
In this paper we show that this is not the case in the class of models under consideration here, provided one chooses just the right modular invariant partition function and orientifold projection
Space-time supersymmetry is obtained when we extend by the spectral flow simple current (s, s, s, s, ...) that relates the R and NS sector
Summary
There are many possible ways in which the Standard Model might emerge from String Theory. One of them is a standard gauge unification scenario using the Heterotic string as a starting point Another broad class, with particular advantages described extensively in many papers [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]5, is through intersecting stacks of branes. There are some results [5, 19, 20] in this area using orientifolds of toric orbifolds [21, 22], but we want to consider here internal CFTs that are non-trivial [23, 24]
Sign-in/Register to view highlights & summary 
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call