Hidden symmetries for transparent de Sitter space

Understand

It is known that odd-dimensional de Sitter space acts as a transparent potential for free fields.

• Previous studies have explained this phenomena by relating de Sitter free field equations of motion to the time-independent Schrodinger equation with known transparent potentials.
• In this work we show that de Sitter's transparency is a consequence of an infinite set of "hidden" symmetries.
• These symmetries arise from an accidental symmetry for the zero-mode of matter fields, as well as the boost isometry of de Sitter space.