Gapped boundaries and string-like excitations in (3+1)d gauge models of topological phases

We study lattice Hamiltonian realisations of (3+1)d Dijkgraaf-Witten theory with gapped boundaries. In addition to the bulk loop-like excitations, the Hamiltonian yields bulk dyonic string-like excitations that terminate at gapped boundaries. Using a tube algebra approach, we classify such excitations and derive the corresponding representation theory. Via a dimensional reduction argument, we relate this tube algebra to that describing (2+1)d boundary point-like excitations at interfaces between two gapped boundaries. Such point-like excitations are well known to be encoded into a bicategory of module categories over the input fusion category. Exploiting this correspondence, we define a bicategory that encodes the string-like excitations ending at gapped boundaries, showing that it is a sub-bicategory of the centre of the input bicategory of group-graded 2-vector spaces. In the process, we explain how gapped boundaries in (3+1)d can be labelled by so-called pseudo-algebra objects over this input bicategory.

INCOME DIVIDING AMONG FAMILY: INFORMATION FROM INPUT ON ICONOMIC PLEASURE

This paper adds to the comprehension of sex viewpoints in the intra-household dividing of income. I gauge models of contrasts in monetary fulfilment between household partners utilizing board information from the German Socio-Economic Panel Study, which permits one to account for family level fixed impacts. The paper adds to the writing a further convincing rejection of the equivalent dividing speculation. Also and novel, the outcomes suggest that unequal income dividing is topsy-turvy and set off by the relative business situations with the partners in male provider families, the ladies' prosperity is influenced by the dissemination factor; in double full-time couples, it is the man's prosperity.

On trilinear terms in the scalar potential of 3-3-1 gauge models

The trilinear terms of the form [Formula: see text] in the scalar potential of a 3-3-1 gauge model are considered. When looking for the eigenbasis of the massive physical Higgs bosons that survive the spontaneous symmetry breakdown of the model — in light of the observed SM-like Higgs boson with mass [Formula: see text] GeV reported in 2012 at the LHC — one gets a strong constraint to the cubic term. It has to be [Formula: see text], in flagrant contradiction with the large one [Formula: see text] which is propagated in the literature to date.