Interacting SPT phases are not morita invariant

They are looking ... why not interacting ? Understanding

In this paper, we study the extent to which the presentation of pedagogical videos on a public display at a communal space of the school is able to promote engagement around those videos. The videos were produced by students from the school itself. Using a mobile application, students could rate, create comments or simply bookmark videos. The evaluation of the platform is made through logs anal...

Fermionic SPT phases in higher dimensions and bosonization

We discuss bosonization and Fermionic Short-Range-Entangled (FSRE) phases of matter in one, two, and three spatial dimensions, emphasizing the physical meaning of the cohomological parameters which label such phases and the connection with higher-form symmetries. We propose a classification scheme for fermionic SPT phases in three spatial dimensions with an arbitrary finite point symmetry G. It...

Regular Neighborhoods Are Not Topologically Invariant

A class of P ; T - invariant topological phases of interacting electrons

We describe a class of parityand time-reversal-invariant topological states of matter which can arise in correlated electron systems in 2+1-dimensions. These states are characterized by particle-like excitations exhibiting exotic braiding statistics. P and T invariance are maintained by a doubling of the low-energy degrees of freedom which occurs naturally without doubling the underlying micros...

Embeddings of Rearrangement Invariant Spaces That Are Not Strictly Singular

We give partial answers to the following conjecture: the natural embedding of a rearrangement invariant space E into L1 ((0; 1]) is strictly singular if and only if G does not embed into E continuously, where G is the closure of the simple functions in the Orlicz space L with (x) = exp(x 2) ? 1. In this paper we ask the following question. Given a rearrangement invariant space E on 0; 1], when ...