Boundary theories of static bulk topological phases matter are obstructed in the sense that they cannot be realized on their own as isolated systems. The obstruction can quantified/characterized by quantum anomalies, particular when there is a global symmetry. Similarly, Floquet evolutions realize unitary operators at boundaries. In this paper, we discuss characterization such obstructions usin...

Field theoretic models possessing a global internal fermionic shift symmetry are considered. When such a symmetry is realized locally, spin 3/2 fields appear naturally as gauge fields. Implementation of the gauging procedure requires not only the usual replacement of ordinary derivatives by covariant derivatives containing the spin 3/2 fields, but also the inclusion of additional monomials. The...

We gauge the fermion parity symmetry of Kitaev chain. While bulk model becomes an Ising chain gauge-invariant spins in a tilted field, near boundaries global survives gauging, leading to local Majorana operators. In absence vortices, Higgs phase exhibits fermionic symmetry-protected topological (SPT) order distinct from Moreover, deconfined can be stable even presence vortices. also undertake c...

In this paper, we examine whether a monetary authority targets the exchange rate, per se, or instead simply appears to do so as it responds to the exchange rate and other variables in service to inflation and output targets. We combine data-rich estimation with a system of forward-looking equations in order to disentangle the possibilities. The combined approach reveals the potentially misleadi...

A consistent framework has been put forward to quantize the isentropic, compressible and inviscid fluid model in the Hamiltonian framework, using the Clebsch parameterization. The naive quantization is hampered by the non-canonical (in particular field dependent) Poisson Bracket algebra. To overcome this problem, the Batalin-Tyutin [11] quantization formalism is adopted in which the original sy...

The aim of this paper is twofold: First, to present an examination of the principles underlying gauge field theories. I shall argue that there are two principles directly connected to the two well-known theorems of Emmy Noether concerning global and local symmetries of the free matter-field Lagrangian, in the following referred to as “conservation principle” and “gauge principle”. Since both th...

The assessment of water resource responses to climate change is required in water resource planning and management, protecting environmental quality, and managing watersheds. This study modeled surface runoff and baseflow responses to variations in precipitation (0%, ±10%, and ±20%) and temperature (0 ◦C, ±1 ◦C, and ±2 ◦C) in 25 types of scenarios in the Lanhe Watershed (1140 km2), which posses...

Predicting suspended sediment load is essential to identify its intensity and define necessary actions for reduction. Mathematical models simulating are an interesting tool this purpose. The methodological approach adopted in article consists looking a regressive model that can better explain the discharge through flow by studying relationship at different temporal scales. work comprises analyz...