Matrix model and Yukawa couplings on the noncommutative torus
arXiv:1901.00095 · doi:10.1007/JHEP04(2019)079
Abstract
The IKKT model is proposed as a non-perturbative formulation of superstring theory. We propose a Dirac operator on the noncommutative torus,which is consistent with the IKKT model, based on noncommutative geometry. Next, we consider zero-mode equations of the Dirac operator with magnetic fluxes. We find that zero-mode solutions have the chirality and the generation structures similar to the commutative case. Moreover, we compute Yukawa couplings of chiral matter fields.
arXiv comment32 pages, no figure, v3 published version
References in corpus (19)
- String Theory and Noncommutative Geometry
- Noncommutative Geometry and Matrix Theory: Compactification on Tori
- A Large-N Reduced Model as Superstring
- Computing Yukawa Couplings from Magnetized Extra Dimensions
- Introduction to M(atrix) theory and noncommutative geometry
- Introduction to M(atrix) theory and noncommutative geometry, Part II
- Emergent Gravity from Noncommutative Gauge Theory
- Convergent Yang-Mills Matrix Theories
- Phenomenological aspects of 10D SYM theory with magnetized extra dimensions
- Intersecting branes and a standard model realization in matrix models
- The Convergence of Yang-Mills Integrals
- Dirac Operator Zero-modes on a Torus
- An extended standard model and its Higgs geometry from the matrix model
- Compactification of M(atrix) theory on noncommutative toroidal orbifolds
- Realizing three generations of the Standard Model fermions in the type IIB matrix model
- Realizing chiral fermions in the type IIB matrix model at finite N
- Finite-matrix formulation of gauge theories on a non-commutative torus with twisted boundary conditions
- Commutative Geometry for Non-commutative D-branes by Tachyon Condensation
- Spherical D-brane by Tachyon Condensation
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- Complex Langevin analysis of the spontaneous breaking of 10D rotational symmetry in the Euclidean IKKT matrix model
- The emergence of expanding space-time and intersecting D-branes from classical solutions in the Lorentzian type IIB matrix model
- On the structure of the emergent 3d expanding space in the Lorentzian type IIB matrix model