Uniqueness of the higher-dimensional radial deformation

Determine whether the higher-dimensional radial deformation of conformal partial waves, including its flow operator, deformed Casimir, and inner product, is uniquely fixed by crossing covariance, sector closure, and spectral consistency.

Background

The proposed higher-dimensional extension uses conformal partial waves as a candidate orthogonal basis for a reduced one-universe sector. A radial deformation depending on a dimensionless coupling must be determined jointly with a crossing-covariant flow or deformed Casimir operator and a compatible inner product.

Unlike the torus construction, the paper does not establish uniqueness. Residual parameters could encode bulk couplings, boundary conditions, or other dynamical data not fixed by the stated bootstrap requirements.