Foliated fracton order in the Majorana checkerboard model

Checkerboard order in the t – J model on the square lattice

LINEARLY FOLIATED CALABI–YAU n-FOLDS I. FIRST-ORDER DEFORMATIONS

We consider classes of noncompact n-folds with trivial canon-ical bundle, that are linear foliations on nonsingular projective varieties, in general without a projection to the base. We obtain them as first-order deformations of total spaces of vector bundles on those varieties.

Hierarchical Majorana Scales in the Seesaw Model

If the mixing angles in each of the seesaw sectors are all small, and the neutrino masses are hierarchical, we study the conditions for large neutrino mixing using triangular matrices. In particular, the implication of the neutrino oscillation data for the mass hierarchy in the heavy Majorana sector is examined, and the heavy Majorana scales are shown to depend sensitively on the solar mixing a...

From Majorana fermions to topological order.

We consider a system consisting of a 2D network of links between Majorana fermions on superconducting islands. We show that the fermionic Hamiltonian modeling this system is topologically ordered in a region of parameter space: we show that Kitaev's toric code emerges in fourth-order perturbation theory. By using a Jordan-Wigner transformation we can map the model onto a family of signed 2D Isi...

Majorana Modules and the Standard Model Action

The action functional of the Standard Model of particle physics is intimately related to a specific class of first order differential operators called Dirac operators of Pauli type (“Pauli-Dirac operators”). The aim of this article is to carefully analyze the geometrical structure of this class of Dirac operators on the basis of real Dirac operators of simple type. On the basis of simple type D...