Realizing chiral fermions in the type IIB matrix model at finite N

Abstract

We discuss how chiral fermions can appear in the type IIB matrix model, which is considered to be a nonperturbative formulation of superstring theory. In particular, we are concerned with a constructive definition of the theory, in which we start with a finite-N configuration and take the large-N limit later on. We point out that there exists a certain necessary condition which the structure of the extra dimensions should satisfy. As an example, we consider a previous proposal using intersecting branes and show that chiral fermions can indeed be realized in four dimensions by introducing a matrix counterpart of warped space-time. This is remarkable in view of the well-known difficulty in realizing chiral fermions in lattice gauge theory.

4 pages, 2 figures; (v2) analysis in section 3 improved

References in corpus (1)

• Phenomenological aspects of 10D SYM theory with magnetized extra dimensions

Cited by in corpus (11)

• Complex Langevin analysis of the space-time structure in the Lorentzian type IIB matrix model
• Power-law expansion of the Universe from the bosonic Lorentzian type IIB matrix model
• Self-intersecting fuzzy extra dimensions from squashed coadjoint orbits in $\mathcal{N}=4$ SYM and matrix models
• Complex Langevin analysis of the spontaneous breaking of 10D rotational symmetry in the Euclidean IKKT matrix model
• Lorentzian Fuzzy Spheres
• Spinning squashed extra dimensions and chiral gauge theory from $\mathcal{N}=4$ SYM
• Flavor landscape of 10D SYM theory with magnetized extra dimensions
• Realizing three generations of the Standard Model fermions in the type IIB 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
• Matrix model and Yukawa couplings on the noncommutative torus