Witten's conformal boundary condition admits no half-supersymmetric extension in linearized minimal supergravity because supersymmetry maps the natural gravitino datum to the trace-free extrinsic curvature left unfixed by the conformal prescription.
Spectral asymmetry and riemannian geometry iii,
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For the families L(ℓ²,ℓ-1) and L(ℓ²,2ℓ-1) with ℓ odd ≥5, the residual-circle equivariant η germ has vanishing first derivative but nonzero second derivative; the normalized value is -6080 for L(25,4) versus L(25,9).
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A Linearized Obstruction to the Supersymmetric Extension of Conformal Boundary Conditions in Euclidean Gravity
Witten's conformal boundary condition admits no half-supersymmetric extension in linearized minimal supergravity because supersymmetry maps the natural gravitino datum to the trace-free extrinsic curvature left unfixed by the conformal prescription.
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Second-Jet Equivariant $\eta$ Separations on Lens Spaces
For the families L(ℓ²,ℓ-1) and L(ℓ²,2ℓ-1) with ℓ odd ≥5, the residual-circle equivariant η germ has vanishing first derivative but nonzero second derivative; the normalized value is -6080 for L(25,4) versus L(25,9).