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The shadow of the graviton multiplet can be a
gravitino multiplet, suggesting a superHiggs
mechanism but...
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Conjecture Shadow SUGRAS
It seems that there exist more general N-extended
SUGRAS with SU(N0) symmetry where N0ltN
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Structure of M-theory
AdS4 UIR relations
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Differential Geometry of X7 knows all the
relations implied by SUSY in AdS4
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There are 4 neutral scalars whose vev
s trigger superHiggs
modulus in N4 N3
R symmetry
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This multiplet is Universal in N3 KK
This suggests consistent truncation!
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The value E03 realized in the Kaluza Klein
model is reached only at the boundary of moduli
space in N4 standard SUGRA
Lines of constant E0 over the disk
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Questions-Conclusions

• Standard N4 SUGRA realizes SuperHiggs with E0lt3
• M-theory à la KK realizes SuperHiggs with E03
• This realization follows from a general shadowing
  mechanism
• Truncation to graviton massive gravitino should
  be consistent since harmonics are constants
• This hints to the existence of a new N4 shadow
  supergravity based on the scalar manifold Msh and
  an FDA describing superHiggs where E03 or bigger
  is allowed.
• Shadow SUGRAS exist also for other N?
• is shadowing true also in D5?
• We know the CFT interpretation of the universal
  multiplet but there is no time.!

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• Work on
• the shadows is
• in progress...