SU(7) unification of SU(3) C × SU(4) W × U(1) B−L

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 θ 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 2 N 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.

Scalar dark matter explanation of the DAMPE data in the minimal left-right symmetric model

“…Its gauge group can naturally appear in the typical SOð10Þ grand unified theory (GUT) group breaking chain [SOð10Þ→ SUð4Þ PS ×SUð2Þ L ×SUð2Þ R →LR], or from the breaking of some other partial unification theories, such as SUð4Þ PS × SUð4Þ W , SUð7Þ, etc. [23][24][25]. The SUð2Þ R × Uð1Þ B−L breaking scale, which can be characterized by the W R gauge boson masses, is well motivated to lie as low as several TeV [26][27][28][29][30][31][32] and allows us to search for possibilities using various experimental signatures, such as collider signals [28,[33][34][35][36][37][38][39][40][41][42][43][44][45][46][47], flavor observables [36,[48][49][50][51][52][53][54][55][56][57][58][59], and EW precision parameters [60,61].…”

“…Besides, the LRSM can accommodate dark matter candidates [13][14][15][16][17][18][19][20][21] and provide a natural framework for baryogenesis through leptogenesis [22]. Its gauge group can naturally appear in typical SO (10) GUT group breaking chain SO(10) → SU (4) P S × SU (2) L × SU (2) R → LR or from the breaking of some other partial unification theories such as SU (4) P S × SU (4) W , SU (7) etc [23][24][25]. The SU (2) R × U (1) B−L breaking scale, which can be characterized by the W R gauge boson masses, is well motivated to lie as low as several TeV [26][27][28][29][30][31][32] and provides us the search possibilities in various physical experiments, such as collider signals [28,[33][34][35][36][37][38][39][40][41][42][43][44][45][46][47], flavor observables [36,[48][49][50][51][52][53]…”