2013/05/31 by Jun Nishimura, Asato Tsuchiya · 15 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Constructive #Fermion #Fermion doubling #Gauge theory #Lattice (music) #Massless particle #Matrix (chemical analysis) #Matrix model #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Superstring theory #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep12(2013)002
published in Journal of High Energy Physics 2013(12) (Springer Nature) · 4 pages, 2 figures; (v2) analysis in section 3 improved
openalex publication_date 2013/12/01 · arxiv created 2013/12/06 · arxiv updated 2015/06/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.