Introducing the fermionic R-operator and solutions of the inverse scattering problem for local fermion operators, we derive a multiple integral representation for zerotemperature correlation functions of a one-dimensional interacting spinless fermion model. Correlation functions particularly considered are the one-particle Green’s function and the density-density correlation function both for a...

We describe a new class of spin liquids with global SU(2) spin rotation symmetry in spin 1/2 systems on the triangular lattice, which have real Majorana fermion excitations carrying spin S = 1. The simplest translationally-invariant mean-field state on the triangular lattice breaks time-reversal symmetry and is stable to fluctuations. It generically possesses gapless excitations along 3 Fermi l...

The numerical simulation we report on aims at a better understanding of the non-perturbative low-energy features of supersymmetric gauge theories. We concentrate on the simplest supersymmetric gauge theory, namely SU(2),N = 1 superYang-Mills. This model contains, in addition to the gauge field a massless Majorana fermion in the adjoint representation (called gluino). For the theoretical motivat...

We compare various formalisms for neutral particles. It is found that they contain unexplained contradictions. Next, we investigate the spin-1/2 and spin-1 cases in different bases. look relations with Majorana-like field operator. show explicitly incompatibility of Majorana anzatzen Dirac-like operators both original theory its generalizations. Several explicit examples are presented higher sp...

We propose two experiments to probe the Majorana fermion edge states that occur at a junction between a superconductor and a magnet deposited on the surface of a topological insulator. Combining two Majorana fermions into a single Dirac fermion on a magnetic domain wall allows the neutral Majorana fermions to be probed with charge transport. We will discuss a novel interferometer for Majorana f...