The purpose of this research is to provide a deeper understanding of the planar high- symmetry configuration instability. In the ideal case, the distortion corresponds to the movements of nuclei along normal modes that belong to non-totally symmetric irreps of the high symmertry (HS) point group of molecule. The analysis of the structural distortion from the HS nuclear arrangements of the JT ac...

Finite-domain constraint programming can be used to solve a wide range of problems by first modelling the problem as a set of constraints that characterise the problem’s solutions, then searching for solutions that satisfy the constraints. Experts often augment models with implied constraints and constraints that break symmetries in the model. An emerging pattern in the modelling process, highl...

[Puget, 2004] has shown that if the symmetry in a constraint satisfaction problem acts only on the variables and there is also an allDifferent constraint on the variables, the symmetry can be eliminated by adding a small number of constraints, linear in the number of variables. In this paper, Puget’s procedure for finding a set of symmetrybreaking constraints is extended to find all possible di...

Recently, a new class of realistic models for electroweak symmetry breaking have been constructed, without supersymmetry. These theories have naturally light Higgs bosons and perturbative new physics at the TeV scale. We describe these models in detail, and show that electroweak symmetry breaking can be triggered by a large top quark Yukawa coupling. A rich spectrum of particles is predicted, w...

Gross–Pitaevskii and nonlinear Hartree equations are equations of nonlinear Schrödinger type that play an important role in the theory of Bose–Einstein condensation. Recent results of Aschbacher et al. (3) demonstrate, for a class of 3-dimensional models, that for large boson number (squared L norm), N, the ground state does not have the symmetry properties of the ground state at small N. We pr...

The requirement for solving a polynomial is a means of breaking its symmetry, which in the case of the quintic, is that of the symmetric group S5. Induced by its five-dimensional linear permutation representation is a three-dimensional projective action. A mapping of complex projective 3-space with this S5 symmetry can provide the requisite symmetry-breaking tool. The article describes some of ...

A new way of supersymmetry breaking involving a dynamical parameter is introduced. It is independent of particle phenomenology and gauge groups. The only requirement is that Lorentz invariance be valid strictly infinitesimally (i. e. Spin(1, 3) be for some values of the parameter replaced by a compact group G with its Lie algebra g = so(1, 3)).