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.
Minimal off-shell supergravity in five dimensions
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abstract
We give an off-shell formulation of N=2 Poincare supergravity in five dimensions
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Scherk-Schwarz breaking yields a Dirac gravitino whose mixing lacks a local N=1 superspace realization in minimal supergravity and whose matter couplings produce standard scalar thresholds plus UV-dependent Dirac fermion masses.
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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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(Pseudo-)Dirac Gravitinos
Scherk-Schwarz breaking yields a Dirac gravitino whose mixing lacks a local N=1 superspace realization in minimal supergravity and whose matter couplings produce standard scalar thresholds plus UV-dependent Dirac fermion masses.