2. The shadow of the graviton multiplet can be a gravitino multiplet, suggesting a superHiggs mechanism but…...

3. Conjecture: Shadow SUGRAS It seems that there exist more general N- extended SUGRAS with SU(N 0 ) symmetry where N 0 <N

6. The spectrum is determined by eigenvalues of Laplace Beltrami operators

7. AdS 4 UIR relations Structure of M-theory

8. Differential Geometry of X7X7 knows all the relations implied by SUSY in AdS 4

9. * = modulus in N=4 N=3 There are 4 neutral scalars whose vev ‘s trigger superHiggs R symmetry

10. This suggests consistent truncation! This multiplet is Universal in N=3 KK

13. The value E 0 =3 realized in the Kaluza Klein model boundary of moduli is reached only at the boundary of moduli space in N=4 standard SUGRA Lines of constant E0E0 over the disk

14. Standard N=4 SUGRA realizes SuperHiggs with E 0 <3 M-theory à la KK realizes SuperHiggs with E 0 =3 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 N=4 shadow supergravity based on the scalar manifold M sh and an FDA describing superHiggs where E 0 =3 or bigger is allowed. Shadow SUGRAS exist also for other N? is shadowing true also in D=5? We know the CFT interpretation of the universal multiplet but there is no time…….! Questions-Conclusions

15. Work on the shadows is in progress…...