We apply different integrability analysis procedures to a reduced (spatially homogeneous) mechanical system derived from an off-shell non-minimally coupled N=2 Maxwell-Chern-Simons-Higgs model that presents BPS topological vortex excitations, numerically obtained with an ansatz adopted in a special critical coupling parametric regime. As a counterpart of the regularity associated to the static ...

A bstract Symmetries of the Two-Higgs-Doublet Model (2HDM) potential that can be extended to whole Lagrangian, i.e. CP-symmetries CP1, CP2, CP3 and Higgs-family symmetries Z 2 , U(1) SO(3) are discussed. Sufficient necessary conditions in terms constraints on masses physical couplings for respect each these found. Each symmetry realized through several alternative cases, case being a set relati...

In this paper we investigate a variational discretization for the class of mechanical systems in presence of symmetries described by the action of a Lie group which reduces the phase space to a (non-trivial) principal bundle. By introducing a discrete connection we are able to obtain the discrete constrained higher-order Lagrange-Poincar\'e equations. These equations describe the dynamics of a ...

A new approach is adopted to completely classify the Lagrangian associated with static cylindrically symmetric spacetime metric via Noether symmetries. The determining equations representing symmetries are analyzed using a Maple algorithm that imposes different conditions on coefficients under which spacetimes admit of dimensions. These used solve equations, giving explicit form vector fields o...

The LanHEP program version 3.0 for Feynman rules generation from the Lagrangian is described. It reads the Lagrangian written in a compact form, close to the one used in publications. It means that Lagrangian terms can be written with summation over indices of broken symmetries and using special symbols for complicated expressions, such as covariant derivative and strength tensor for gauge fiel...

We point out a connection between R symmetry and supersymmetry breaking. We show that the existence of an R symmetry is a necessary condition for supersymmetry breaking and a spontaneously broken R symmetry is a sufficient condition provided two conditions are satisfied. These conditions are: genericity, i.e. the effective Lagrangian is a generic Lagrangian consistent with the symmetries of the...

We propose a geometric approach to the BRST-symmetries of the Lagrangian of a topological quantum field theory on a four dimensional manifold based on the formalism of superconnections. Making use of a graded q-differential algebra, where q is a primitive N -th root of unity, we also propose a notion of ZN -connection which is a generalization of a superconnection. In our approach the Lagrangia...