Restricted Weyl symmetry and spontaneous symmetry breakdown of conformal symmetry

Symmetry of Fullerene C_60

Spontaneous Breakdown of the Time Reversal Symmetry

The role of the environment initial conditions in the breaking of the time reversal symmetry of effective theories and in generating the soft irreversibility is studied by the help of Closed Time Path formalism. The initial conditions break the time reversal symmetry of the solution of the equation of motion in a trivial manner. When open systems are considered then the initial conditions of th...

Extended Conformal Symmetry

We show that the grading of fields by conformal weight, when built into the initial group symmetry, provides a discrete, non-central conformal extension of any group containing dilatations. We find a faithful vector representation of the extended conformal group and show that it has a scale-invariant scalar product and satisfies a closed commutator algebra. The commutator algebra contains the i...

Supersymmetry and the spontaneous breakdown of PT symmetry

The appearances of complex eigenvalues in the spectra of PT -symmetric quantummechanical systems are usually associated with a spontaneous breaking of PT . In this letter we discuss a family of models for which this phenomenon is also linked with an explicit breaking of supersymmetry. Exact level-crossings are located, and connections with N -fold supersymmetry and quasi-exact solvability in ce...

Restricted Quantum Affine Symmetry of Perturbed Minimal Conformal Models

We study the structure of superselection sectors of an arbitrary perturbation of a conformal field theory. We describe how a restriction of the q-deformed ŝl(2) affine Lie algebra symmetry of the sine-Gordon theory can be used to derive the S-matrices of the Φ perturbations of the minimal unitary series. This analysis provides an identification of fields which create the massive kink spectrum. ...