Experimental observation of Majorana fermion matter gives a new impetus to the understanding of the Lorentz symmetry and its extension, the geometrical properties of the ambient space-time structure, matter–antimatter symmetry and some new ways to understand the baryo–genesis problem in cosmology. Based on the primordial Majorana fermion matter assumption, we discuss a possibility to solve the ...

Scales of mass generation for Majorana neutrinos (as well as quarks and leptons) can be probed from high energy 2 → n inelastic scattering involving a multiple longitudinal gauge boson final state. We demonstrate that the unitarity of 2 → n scattering puts the strongest new upper limit on the scale of fermion mass generation, independent of the electroweak symmetry breaking scale v = ( √ 2GF ) ...

We show that there is a fermionic minimal model, i.e., $1+1\mathrm{D}$ conformal field theory which contains operators of half-integral spins in its spectrum, for each $c=1--6/m(m+1)$, $m\ensuremath{\ge}3$. This generalizes the Majorana fermion $c=1/2$, $m=3$ and smallest $\mathcal{N}=1$ supersymmetric model $c=7/10$, $m=4$. provide explicit Hamiltonians on chains realizing these models.

In this work, we find that Majorana fermions induce selective equal spin Andreev reflections (SESARs), in which incoming electrons with certain spin polarization in the lead are reflected as counterpropagating holes with the same spin. The spin polarization direction of the electrons of this Andreev reflected channel is selected by the Majorana fermions. Moreover, electrons with opposite spin p...

Majorana particles are natural representations of massive neutrinos since the most general mass term for a four component fermion eld describes two Majorana particles with di erent masses. Majorana neutrinos also appear in many extensions of the minimal Standard Model; this is the case, for example, in SO(10) grand uni ed theories [1]. Neutrinos in general, and in particular Majorana neutrinos,...

We analyse a spin precession of slow neutrons in the Einstein–Cartan gravity with torsion, chameleon and magnetic field. For the derivation of the Heisenberg equation of motion of the neutron spin we use the effective low–energy potential, derived by Ivanov and Wellenzohn (Phys. Rev. D 92, 125004 (2015)) for slow neutrons, coupled to gravitational, chameleon and torsion fields to order 1/m, whe...

A bstract Two-dimensional SU( N ) gauge theory coupled to a Majorana fermion in the adjoint representation is nice toy model for higher-dimensional dynamics. It possesses multitude of “gluinoball” bound states whose spectrum has been studied using numerical diagonalizations light-cone Hamiltonian. We extend this by coupling it f flavors fundamental Dirac fermions (quarks). The extended also con...

We examine the CP properties of chiral gauge theory defined by a formulation of the domain wall fermion, where the light field variables q and q̄ together with Pauli-Villars fields Q and Q̄ are utilized. It is shown that this domain wall representation in the infinite flavor limit N = ∞ is valid only in the topologically trivial sector, and that the conflict among lattice chiral symmetry, strict ...

We propose a method to coherently transfer quantum information, and to create entanglement, between topological qubits and conventional spin qubits. Our suggestion uses gated control to transfer an electron (spin qubit) between a quantum dot and edge Majorana modes in adjacent topological superconductors. Because of the spin polarization of the Majorana modes, the electron transfer translates s...