On Susy Standard-like models from orbifolds of D=6 Gepner orientifolds

TL;DR

This paper constructs Standard-like models from orbifolds of D=6 Gepner orientifolds, detailing the boundary states, spectra, and tadpole conditions, and presents a three-generation Left-Right symmetric model as an example.

Contribution

It provides explicit methods for building D=4 supersymmetric models from D=6 Gepner orientifolds with orbifolding, including spectra and tadpole equations, leading to realistic models.

Findings

Constructed explicit boundary states and crosscaps for D=6 Gepner orientifolds.

Derived spectra and tadpole cancellation conditions for orbifolded models.

Presented a three-generation Left-Right symmetric model that can be broken to MSSM.

Abstract

As a further elaboration of the proposal of Ref. [1] we address the construction of Standard-like models from configurations of stacks of orientifold planes and D-branes on an internal space with the structure ${(Gepner model)^{c=6} \times T^2}/Z_N$. As a first step, the construction of D=6 Type II B orientifolds on Gepner points, in the diagonal invariant case and for both, odd and even, affine levels is discussed. We build up the explicit expressions for B-type boundary states and crosscaps and obtain the amplitudes among them. From such amplitudes we read the corresponding spectra and the tadpole cancellation equations. Further compactification on a T^2 torus, by simultaneously orbifolding the Gepner and the torus internal sectors, is performed. The embedding of the orbifold action in the brane sector breaks the original gauge groups and leads to N=1 supersymmetric chiral spectra. Whenever even orbifold action on the torus is considered, new branes, with worldvolume transverse to torus coordinates, must be included. The detailed rules for obtaining the D=4 model spectra and tadpole equations are shown. As an illustration we present a 3 generations Left-Right symmetric model that can be further broken to a MSSM model.