The union of axis-aligned boxes results in a constrained structure that is advantageous for solving certain geometrical problems. A widely used scheme for solid modelling systems is the boundary representation (Brep). We present a method to obtain the B-rep of a union of axis-aligned boxes. Our method computes all boundary vertices, and additional information for each vertex that allows us to a...

Topological tests to detect degeneracies of Hamiltonians have been put forward in the past. Here, we address the applicability of a recently proposed test [Phys. Rev. Lett. 92, 060406 (2004)] for degeneracies of real Hamiltonian matrices. This test relies on the existence of nontrivial loops in the space of eigenbases SO(n). We develop necessary means to determine the homotopy class of a given ...

We study the estimators of various second-order weak lensing statistics such as the shear correlation functions ξ± and the aperture mass dispersion 〈M 2 ap〉 which can directly be constructed from weak lensing shear maps. We compare the efficiency with which these estimators can be used to constrain cosmological parameters. To this end we introduce the Karhunen-Loève (KL) eigenmode analysis tech...

We demonstrate that a certain class of low scale supersymmetric “NelsonBarr” type models can solve the strong and supersymmetric CP problems while at the same time generating sufficient weak CP violation in the K0−K̄0 system. In order to prevent one-loop corrections to θ̄ which violate bounds coming from the neutron electric dipole moment (EDM), one needs a scheme for the soft supersymmetry break...

The resonance spectrum of a tilted periodic quantum system for a bichromatic periodic potential is investigated. For such a bichromatic Wannier–Stark system, exceptional points, degeneracies of the spectrum, can be localized in parameter space by means of an efficient method for computing resonances. Berry phases and Petermann factors are analysed. Finally, the influence of a nonlinearity of th...

Presents an ellipsoidal calculus based solely on two basic operations: propagation and fusion. Propagation refers to the problem of obtaining an ellipsoid that must satisfy an affine relation with another ellipsoid, and fusion to that of computing the ellipsoid that tightly bounds the intersection of two given ellipsoids. These two operations supersede the Minkowski sum and difference, affine t...

We show that the simultaneous determination of the leptonic CP-odd phase δ and the angle θ 13 from the subleading transitions ν e → ν µ and ¯ ν e → ¯ ν µ results generically, at fixed neutrino energy and baseline, in two degenerate solutions. In light of this, we refine a previous analysis of the sensitivity to leptonic CP violation at a neutrino factory, in the LMA-MSW scenario, by exploring t...

We consider the partition function of the boundary OSp(2S + 2|2S) coset sigma model on an annulus, based on the lattice regularization introduced in the companion paper. Using results for the action of OSp(2S+2|2S) and BL(2) on the corresponding spin chain, as well as mini-superspace and small g σ calculations, we conjecture the full spectrum and set of degeneracies on the entire critical line....

Motivated by the recent conjecture of Ooguri, Strominger and Vafa, we compute the semi-canonical partition function of BPS black holes in N = 4 and N = 8 string theories, to all orders in perturbation theory. Not only are the black hole partition functions surprisingly simple; they capture the full topological string amplitudes, as expected from the OSV conjecture. The agreement is not perfect,...

The recent experimental results on the spectrum of highly excited light nonstrange mesons are known to reveal a high degree of degeneracy among different groups of states. We revise some suggestions about the nature of the phenomenon and put the relevant ideas into the final shape. The full group of approximate mass degeneracies is argued to be SU(2)f × I ×O(4), where I is the degeneracy of iso...