The free particle, harmonic oscillator, and inverted oscillator are unified as parabolic, elliptic, and hyperbolic realizations of the same conformal module, with explicit mappings between their states, coherent states, and scattering data via metaplectic rotations and Mellin transforms.
Central charges in the canonical realization of asymptotic symmetries: an example from three-dimensional gravity
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
hep-th 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
The Free Particle--Oscillator--Inverted Oscillator Triangle: Conformal Bridges, Metaplectic Rotations and $\mathfrak{osp}(1|2)$ Structure
The free particle, harmonic oscillator, and inverted oscillator are unified as parabolic, elliptic, and hyperbolic realizations of the same conformal module, with explicit mappings between their states, coherent states, and scattering data via metaplectic rotations and Mellin transforms.