There is currently no widely accepted standard method to determine whether gerrymandering has occurred. To a cutoff for unreasonable gerrymandering, simulating collections of districting plans in the absence partisan bias been proposed. In simulation-based methods, real-world election outcomes are compared results from simulated plans. Here, simulation that creates possible districts continuous...

We review recent progress in the gauging of maximal supergravity theories.

We address the problem of coupling non-Hermitian systems, treated as fundamental rather than effective theories, to the electromagnetic field. In such theories the observables are not the x and p appearing in the Hamiltonian, but quantities X and P constructed by means of the metric operator. Following the analogous procedure of gauging a global symmetry in Hermitian quantum mechanics we find t...

The 3-d BTZ black hole represents an orbifold of AdS3 gravity. The UV as well as the IR region of the CFT is governed by a gauged SL(2,R) WZW model. In the UV it corresponds to a light-cone gauging (Liouville model) whereas in the IR it is a space-like gauging (2-d black hole).

Gauging extra matter is a common way to couple two CFTs discontinuously. We may consider gauging matter by strongly coupled gauge theories at criticality rather than by weakly coupled (asymptotic free) gauge theories. It often triggers relevant deformations and possibly leads to a non-trivial fixed point. In many examples such as the IR limit of SQCDs (and their variants), the relevant RG flow ...

Streamflow is an important factor in the study of water resource management, floods, and droughts. Dramatic climate change has created extreme rainfall distributions, making the study of streamflow trends and variability even more crucial. In this study, the long-term streamflow data and trends recorded at gauging stations in Northern Taiwan are analyzed using the Mann-Kendall test. The data us...

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...