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We discuss a global anomaly associated with the coupling of chiral Weyl fermions to gravity. The Standard Model based upon $SU(3){\times}SU(2){\times}{U(1)}$ which has 15 fermions per generation is shown to be inconsistent if all background…

High Energy Physics - Theory · Physics 2007-05-23 Lay Nam Chang , Chopin Soo

We present exact non-perturbative solutions to chiral gauge theories based on the $E_6$ gauge group and several matter fermions in the fundamental $\bf{27}$-dimensional representation. They are obtained when supersymmetric versions are…

High Energy Physics - Theory · Physics 2025-05-14 Andrew Goh , Hitoshi Murayama , Gup Singh , Bethany Suter , Jason Wong

A new mechanism is proposed to explain the appearance of the three known fermion generations in a natural way. The underlying idea is based on the discreteness of the spectrum of solutions of the gap equation appearing in models of…

High Energy Physics - Phenomenology · Physics 2008-02-03 George Triantaphyllou

Free fermionic construction of four dimensional string vacua, are related to the Z2XZ2 orbifolds at special points in the moduli space, and yielded the most realistic three family string models to date. Using free fermionic construction…

High Energy Physics - Theory · Physics 2008-11-26 Alon E. Faraggi , Costas Kounnas , John Rizos

We have investigated a proposal to construct chiral gauge theories on the lattice using domain wall fermions. The model contains two opposite chirality zeromodes, which live on two domain walls. We couple only one of them to a gauge field,…

High Energy Physics - Lattice · Physics 2009-10-22 M. Golterman , K. Jansen , D. Petcher , J. Vink

We give a detailed description of the model construction procedures about our new approach to the family structure of the standard model. SM-like chiral fermion spectra, largely "derivable" from the gauge anomaly constraints, are formulated…

High Energy Physics - Phenomenology · Physics 2009-10-28 Otto C. W. Kong

Chiral fermions can (presumably) be constructed by introducing two regulators, one for the gauge fields (e.g. a lattice), and another for the fermion functional integrals in a fixed (regulated) gauge field. This talk discusses cutoff…

High Energy Physics - Lattice · Physics 2009-10-28 Andreas S. Kronfeld

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…

High Energy Physics - Theory · Physics 2015-03-17 Hajime Aoki

Three dimensional Thirring model with $N$ four-component Dirac fermions, reformulated as a lattice gauge theory, is studied by computer simulation. According to an $8^{3}$ data and preliminary $16^3$ data, chiral symmetry is found to be…

High Energy Physics - Lattice · Physics 2016-01-27 Seyong Kim , Yoonbai Kim

Generalizing the recent work on three-family Type I compactifications, we classify perturbative Type I vacua obtained via compactifying on the T^6/Z_2 X Z_2 X Z_3 orbifold with all possible Wilson lines. In particular, we concentrate on…

High Energy Physics - Theory · Physics 2009-10-31 Zurab Kakushadze , S. -H. Henry Tye

We obtain a supersymmetric three family chiral SU(6) grand unification model with the global family symmetry SU(3)[family] from F-theory. This model has nice features such as all the fermion masses are reasonably generated and there results…

High Energy Physics - Phenomenology · Physics 2015-03-17 Kang-Sin Choi , Jihn E. Kim

The data from collider experiments and cosmic observatories indicates the existence of three light matter generations. In some classes of string compactifications the number of generations is related to a topological quantity, the Euler…

High Energy Physics - Theory · Physics 2010-04-05 Ron Donagi , Alon E. Faraggi

Chiral gauge groups acting on a lattice fermion field are constructed such that all fermion modes (doublers) have the same charge. Details are given for an abelian axial gauge group within a perturbative framework. An action based on this…

High Energy Physics - Lattice · Physics 2007-05-23 Alan Horowitz

Electroweak interactions based on a gauge group $\rm SU(3)_L \times U(1)_X$, coupled to the QCD gauge group $\rm SU(3)_c$, can predict the number of generations to be multiples of three. We first try to unify these models within SU(N)…

High Energy Physics - Phenomenology · Physics 2015-10-07 Pritibhajan Byakti , David Emmanuel-Costa , Arindam Mazumdar , Palash B. Pal

We describe a simple model that automatically generates the sum over gauge group representations and chiralities of a single generation of fermions in the Standard Model, augmented by a sterile neutrino. The model is a modification of the…

High Energy Physics - Phenomenology · Physics 2014-10-28 Paul Mansfield

In the framework of N=1 supersymmetric string models given by the heterotic string on an elliptic Calabi-Yau $\pi :Z\ra B$ together with a SU(n) bundle we compute the chiral matter content of the massless spectrum. For this purpose the net…

High Energy Physics - Theory · Physics 2009-10-31 G. Curio

The chiral fermion model with local multifermion interactions proposed in Nucl. Phys. B486 (1997) 282 and Phys. Rev. D61 (2000) 054502 processes an exact SU_L(2) chiral gauge symmetry and SU_L(2) by U_R(1) chiral flavour symmetry on a…

High Energy Physics - Lattice · Physics 2009-10-31 She-Sheng Xue

We describe how to construct chiral fermion mass terms using Dirac-Kahler (DK) spinors. Classical massive DK spinors are shown to be equivalent to four generations of Dirac spinors with equal mass coupled to a background U(2,2) gauge field.…

High Energy Physics - Phenomenology · Physics 2014-11-21 Alexander N. Jourjine

We discuss how the Standard Model particles appear from 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,…

High Energy Physics - Theory · Physics 2015-06-18 Hajime Aoki , Jun Nishimura , Asato Tsuchiya

Chiral defect fermions on the lattice in 4+1 dimensions are analyzed using mean field theory. The fermion propagator has a localized chiral mode in weak coupling but loses it when the coupling in the unphysical fifth direction becomes too…

High Energy Physics - Lattice · Physics 2009-10-22 C. P. Korthals-Altes , S. Nicolis , J. Prades