on utilizing the spectral representation of selfadjoint operators in hilbert spaces, some error bounds in approximating $n$-time differentiable functions of selfadjoint operators in hilbert spaces via a taylor's type expansion are given.

Majorana fermions, originally proposed as elementary particles acting as their own antiparticles, can be realized in condensed-matter systems as emergent quasiparticles, a situation often accompanied by topological order. Here we propose a physical system which realizes Landau levels-highly degenerate single-particle states usually resulting from an orbital magnetic field acting on charged part...

Efficient oscillations between ordinary (active) and sterile neutrinos can occur only if Dirac and Majorana mass terms exist which are both small and comparable. It is shown that this can occur naturally in a class of string models, in which higher-dimensional operators in the superpotential lead to an intermediate scale expectation value for a scalar field and to suppressed Dirac and Majorana ...

Efficient oscillations between ordinary (active) and sterile neutrinos can occur only if Dirac and Majorana mass terms exist which are both small and comparable. It is shown that this can occur naturally in a class of string models, in which higher-dimensional operators in the superpotential lead to an intermediate scale expectation value for a scalar field and to suppressed Dirac and Majorana ...

We develop a supersymmetric representation of spin operators which unifies the Schwinger and Abrikosov representations of SU(N) spin operators, allowing a second-quantized treatment of representations of the SU(N) group with both symmetric and antisymmetric character. By applying this to the SU(N) Kondo model, we show that it is possible to develop a controlled treatment of both Magnetism and t...

We develop a supersymmetric representation of the Hubbard operator which unifies the slave boson and slave fermion representations into a single U(1)× SU(1|1) gauge theory, a group with larger symmetry than the product of two U(1) gauge groups. These representations of the Hubbard operator can be used to incorporate strong Hund’s interactions in multi-electron atoms as a constraint. We show how...

DRAFT VERSION The Majorana spinor is an element of a 4 dimensional real vector space. The Majorana spinor representations of the Rotation and Lorentz groups are irreducible. The spinor fields are space-time dependent spinors, solutions of the free Dirac equation. We define the Majorana-Fourier transform and relate it to the linear momentum of a spin one-half Poincare group representation. We sh...

We propose a method to formulate four-dimensionalN = 1 super Yang-Mills theory on the lattice without fine-tuning. We first show that a Weyl fermion in a real representation can be formulated using the domain wall approach with an addition of a Majorana mass term only for the unwanted mirror fermion. This formalism has manifest gauge invariance. The fermion number conservation is only violated ...

We confirm the non-integrability of the multi-deformed Ising Model, an already expected result. After deforming with the energy operator φ1,3 we use the Majorana free fermionic representation for the massive theory to show that, besides the trivial one, no local integrals of motion can be built in the theory arising from perturbing with both energy and spin operators. 1 e-mail: pfonseca@physics...

We discuss the possibility that heavy fermion superconductors involve odd-frequency triplet pairing. A key technical innovation in this discussion is a Majorana representation for the local moments which enables the n f = 1 constraint in the Kondo lattice to be handled without a Gutzwiller approximation. Our mean field theory for odd frequency pairing involves a condensation of local moments an...