MSSM from Ads/CFT

We develop a robust version of the MSSM from a $Z_{12}$ orbifolded AdS/CFT, with natural low scale unification and briefly discuss cosmology in this testable model.Comment: 12 pages latex and one eps figur

Proton Decay Constraints on Low Scale AdS/CFT Unification

Dark matter candidates and proton decay in a class of models based on the AdS/CFT correspondence are discussed. We show that the present bound on the proton decay lifetime is inconsistent with ${\cal N} = 1$ SUSY, and strongly constrains ${\cal N} = 0$ non-SUSY, low scale trinification type unification of orbifolded AdS$\otimes S^5$ models.Comment: 10 page

Construction of multi-instantons in eight dimensions

We consider an eight-dimensional local octonionic theory with the seven-sphere playing the role of the gauge group. Duality conditions for two- and four-forms in eight dimensions are related. Dual fields--octonionic instantons--solve an 8D generalization of the Yang-Mills equation. Modifying the ADHM construction of 4D instantons, we find general $k$-instanton 8D solutions which depends on $16k-7$ effective parameters

Spontaneous Breaking of Gauge Groups to Discrete Symmetries

Many models of beyond Standard Model physics connect flavor symmetry with a discrete group. Having this symmetry arise spontaneously from a gauge theory maintains compatibility with quantum gravity and can be used to systematically prevent anomalies. We minimize a number of Higgs potentials that break gauge groups to discrete symmetries of interest, and examine their scalar mass spectra.Comment: 45 page