Permutation symmetry and a derivation of unitary symmetry

Symmetry of Fullerene C_60

Unitary Representations with Reeection Symmetry

Perturbative Derivation of Mirror Symmetry

We provide a purely perturbative (one loop) derivation of mirror symmetry for supersymmetric sigma models in two dimensions.

Permutation Symmetry for Many Particles

We consider the implications of the Revised Symmetrization Postulate 1 for states of more than two particles. We show how to create permutation symmetric state vectors and how to derive alternative state vectors that may be asymmetric for any pair by creating asymmetric interdependencies in their state descriptions. Because we can choose any pair to create such an asymmetry, the usual generaliz...

Partial Synchronization through Permutation Symmetry

In this paper we consider the problem of the existence and stability of invariant manifolds in a network of diffusively coupled identical systems. It is shown that the existence of a symmetry in the network implies the existence of linear invariant manifolds. This correspond to so called partial synchronization, or clusterization, a phenomenon occurring when some subsystems from the network ope...