**Is there a classification of all theories belonging to the string landscape with chiral gauge couplings?** No, we are far from such a precise knowledge of the string theory landscape.

Nevertheless, a sample of representative approaches can be mentioned:

**1)** Heterotic string compactifications on Calabi-Yau: See Chiral four-dimensional heterotic strings from self-dual lattices.

**2)** Four-dimensional $N=1$ superconformal quiver gauge theories: See brane tillings and their applications. The simplest cases of this class of theories are dicussed in the case of local Calabi-Yau, however, they model the local behaviour of a wide class of semi-realistic theories.

**3)** Intersecting branes setups: See the excellent review https://arxiv.org/abs/hep-th/0502005.

**4)** F-theory compactifications: See the outstanding A Quadrillion Standard Models from F-theory.

**5)** Strings on orbifold geometries: See strings on orbifolds.

Just to mention a few.

This post imported from StackExchange Physics at 2020-12-07 19:34 (UTC), posted by SE-user Ramiro Hum-Sah