CPT, Strings and Baryogenesis

In the context of string field theory, the possibility exists for the spontaneous violation of Lorentz invariance and CPT. In this talk, we review its status and some experimental constraints. We discuss the possibility that stringy CPT violation could give rise to a mechanism in which baryogenesis occurs in the early Universe in thermal equilibrium and show that this can produce, under suitable circumstances, a baryon asymmetry equal to the observed value.