= Positive energy representation of the loop group of U(1)
{title2=$R_t\pi(g)R_t^*=\pi(g(e^{it}\,\cdot))$}
Such a continuous <projective unitary representation> admits strongly continuous rotations whose self-adjoint generator is bounded below and whose adjoint action rotates the loops. In the basic fermionic construction, <integer> one-particle modes are filled below zero. The rotation energy counts nonnegative particle energies and positive hole energies. It has finite-dimensional <integer> <eigenspaces> and implements circle rotations. <Tensor products> give higher nonnegative <integer> levels.
Back to article page
