Ensembles of quantum chaotic systems are expected to exhibit energy eigenvalues with random-matrix-like level repulsion between pairs energies separated by less than the inverse Thouless time. Recent research has shown that exact and approximate global symmetries a system have clear signatures in these spectral statistics, enhancing form factor or correspondingly weakening repulsion. This paper...

Twisted bilayer graphene, by nature of its symmetries (like the approximate particle-hole symmetry) and anomalous band structure, realizes a higher-order topological superconductor when $s$-wave pairing is introduced via proximity. Here, authors demonstrate this exotic phase numerically analytically, illustrate multitude consequences: zero modes bound to Abrikosov vortices, fractional Josephson...

The uniform distribution on matrices with specified row and column sums is often a natural choice of null model when testing for structure in two-way tables (binary or nonnegative integer). Due to the difficulty of sampling from this distribution, many approximate methods have been developed. We will show that by exploiting certain symmetries, exact sampling and counting is in fact possible in ...

The properties of the effective field theory relevant for the low energy structure generated by the Goldstone bosons of a spontaneously broken symmetry are reexamined. It is shown that anomaly free, Lorentz invariant theories are characterized by a gauge invariant effective Lagrangian, to all orders of the low energy expansion. The paper includes a discussion of anomalies and approximate symmet...

We extend our previous work on structural steganalysis of LSB replacement in digital images, building detectors which analyse the effect of LSB operations on pixel groups as large as four. Some of the method previously applied to triplets of pixels carries over straightforwardly. However we discover new complexities in the specification of a cover image model, a key component of the detector. T...

Abstract. We present a new verification technique for Promela which exploits state-space symmetries induced by scalarset values used in a model. The technique involves efficiently computing a marker for each state encountered during search. We propose a complete verification method which only partially exploits symmetry, and an approximate verification method which fully exploits symmetry. We d...

Symmetry is a common characteristic in natural and man-made objects. Its ubiquitous nature can be exploited to facilitate the analysis and processing of computational representations of real objects. In particular, in computer graphics, the detection of symmetries in 3D geometry has enabled a number of applications in modeling and reconstruction. However, the problem of symmetry detection in in...

Symmetries and their consequences are central to physics. In this chapter we will discuss a particular set of symmetries that have played a seminal role in the development of elementary particle and nuclear physics. These are the isospin symmetry of nuclear interactions and its natural extension, the so-called Eightfold Way. The organization of this chapter is as follows: In the next section we...

Until recently, dynamical supersymmetry breaking seemed an exceptional phenomenon, involving chiral gauge theories with a special structure. Recently it has become clear that requiring only metastable states with broken supersymmetry leads to a far broader class of theories. In this paper, we extend these constructions still further, finding new classes which, unlike earlier theories, do not ha...