Chiral Fermions and the Standard Model from the Matrix Model Compactified on a Torus

Abstract

It is shown that the IIB matrix model compactified on a six-dimensional torus with a nontrivial topology can provide chiral fermions and matter content close to the standard model on our four-dimensional spacetime. In particular, generation number three is given by the Dirac index on the torus.

21 pages, 5 figures; ver2: version published in Prog. Theor. Phys; ver3: minor corrections

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Cited by in corpus (27)

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• Power-law expansion of the Universe from the bosonic Lorentzian type IIB matrix model
• An extended standard model and its Higgs geometry from the matrix model
• Complex Langevin analysis of the spontaneous breaking of 10D rotational symmetry in the Euclidean IKKT matrix model
• Spinning squashed extra dimensions and chiral gauge theory from $\mathcal{N}=4$ SYM
• On Lie-algebraic solutions of the type IIB matrix model
• Realizing three generations of the Standard Model fermions in the type IIB matrix model
• Local field theory from the expanding universe at late times in the IIB matrix model
• Realizing chiral fermions in the type IIB matrix model at finite N
• Factorization of the Effective Action in the IIB Matrix Model
• The emergence of expanding space-time and intersecting D-branes from classical solutions in the Lorentzian type IIB matrix model
• Monte Carlo studies of the spontaneous rotational symmetry breaking in dimensionally reduced super Yang-Mills models
• Brane compactifications and 4-dimensional geometry in the IKKT model
• On the structure of the emergent 3d expanding space in the Lorentzian type IIB matrix model
• Probability of the Standard Model Appearance from a Matrix Model
• A renormalization group method for studying the early universe in the Lorentzian IIB matrix model
• The origin of space-time as seen from matrix model simulations
• Monte Carlo studies on the expanding behavior of the early universe in the Lorentzian type IIB matrix model
• Probability distribution over some phenomenological models in the matrix model compactified on a torus
• An Index for Intersecting Branes in Matrix Models
• A Scaling Relation, $Z_m$-type Deconfinement Phases and Imaginary Chemical Potentials in Finite Temperature Large-$N$ Gauge Theories
• (3+1)-dimensional expanding universe from a Lorentzian matrix model for superstring theory in (9+1)-dimensions
• Compactified rotating branes in the matrix model, and excitation spectrum towards one loop
• Phenomenological studies in the matrix models