We present a consistent way of coupling three-dimensional Maxwell-Chern-Simons gravity theory with massless spin-$\frac{5}{2}$ gauge fields. first introduce the simplest hyper-Maxwell-Chern-Simons generically containing two spin-2 fields coupled Majorana fermion spin $\frac{5}{2}$ whose novel underlying superalgebra is explicitly constructed. then three alternative hypersymmetric extensions Max...

That a Majorana neutrino theory is different from a Dirac neutrino theory (even in the zero mass limit) is proved in two sentences. Fermion Statistics For the reactions (Dirac) e + e − → ν ¯ ν and (Majorana) e + e − → νν wherein the two final particles are presumed to have opposite helicity, in the Dirac case the neutrino and anti-neutrino are different particles so that Ψ Dirac (p 1 , λ 1 ; ¯ ...

Two dimensional dilaton gravity interacting with a four-fermion model and scalars is investigated, all the coefficients of the Lagrangian being arbitrary functions of the dilaton field. The one-loop covariant effective action for 2D dilaton gravity with Majorana spinors (including the four-fermion interaction) is obtained, and the technical problems which appear in an attempt at generalizing su...

One Majorana doublet can be realized at each end of the time-reversal-invariant Majorana nanowires. We investigate the Josephson effect in the Majorana-doublet-presented junction modified by different inter-doublet coupling manners. It is found that when the Majorana doublets couple indirectly via a non-magnetic quantum dot, only the normal Josephson effect occurs, and the fermion parity in the...

The sole static electromagnetic property of a spin-$\frac{1}{2}$ Majorana fermion is its anapole moment. Though they cannot couple to single real photons, these particles can interact with electric currents through virtual photons. If immersed in background current, there an energy difference between the spin states fermion; higher state has moment antialigned current. In this paper, we address...

We investigate the mesoscopic resistor-capacitor circuit consisting of a quantum dot coupled to spatially separated Majorana fermion modes in a chiral topological superconductor. We find substantially enhanced relaxation resistance due to the nature of Majorana fermions, which are their own antiparticles and are composed of particle and hole excitations in the same abundance. Further, if only a...

statistics of dislocation defects in a Z[subscript N] rotor model. " Physical Review B 86.16 (2012). Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Non-Abelian st...