SU(7) Unification of SU(3)_C*SU(4)_W* U(1)_{B-L}

TL;DR

This paper explores a five-dimensional SUSY SU(7) unification model that achieves gauge coupling unification, analyzes symmetry breaking via boundary conditions, and employs AdS/CFT duality to study supersymmetry breaking and dualities.

Contribution

It introduces a novel SUSY SU(7) unification framework with detailed symmetry breaking analysis and demonstrates gauge unification and supersymmetry breaking using AdS/CFT techniques.

Findings

Successful gauge coupling unification with low unification scales.

Boundary condition-driven symmetry breaking in a Randall-Sundrum background.

Supersymmetry is broken in the conformal scenario with a vanishing singlet VEV.

Abstract

We propose the SUSY SU(7) unification of the SU(3)_C* SU(4)_W* U(1)_{B-L} model. Such unification scenario has rich symmetry breaking chains in a five-dimensional orbifold. We study in detail the SUSY SU(7) symmetry breaking into SU(3)_C* SU(4)_W* U(1)_{B-L} by boundary conditions in a Randall-Sundrum background and its AdS/CFT interpretation. We find that successful gauge coupling unification can be achieved in our scenario. Gauge unification favors low left-right and unification scales with tree-level \sin^2\theta_W=0.15. We use the AdS/CFT dual of the conformal supersymmetry breaking scenario to break the remaining N=1 supersymmetry. We employ AdS/CFT to reproduce the NSVZ formula and obtain the structure of the Seiberg duality in the strong coupling region for 3/2N_c<N_F<3N_C. We show that supersymmetry is indeed broken in the conformal supersymmetry breaking scenario with a vanishing singlet vacuum expectation value.