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

Conjecture: Shadow SUGRAS

It seems that there exist more general N-extended SUGRAS with SU(N0)

symmetry where N0<N

7 on Laplacians

of seigenvalue321

X

M

Gsview32.lnk

The spectrum

is determined by eigenvalues

of Laplace

Beltrami

operators

AdS4

UIR relations

Structure of

M-theory

Differential Geometry of X7 knows all the relations implied by SUSY in AdS4

* = modulus in

N=4 N=3

There are

4 neutral

scalars whose

vev ‘svev ‘s

trigger superHiggs

R symmetry

This suggests This suggests consistent consistent truncation!truncation!

This This multipletmultiplet

is is

UniversalUniversal

in N=3in N=3

KKKK

The value E0=3 realized in the Kaluza Klein modelis reached only at the boundary of moduliboundary of moduli spacein N=4 standard SUGRA

Lines of constant E0 over the disk

• Standard N=4 SUGRA realizes SuperHiggs with E0<3

• M-theory à la KK realizes SuperHiggs with E0=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 Msh and an FDA describing superHiggs where E0=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

6)3(

)3,3(

)1(

)1,1(W

U

USp

U

SUM sh

Work on

the shadows is

in progress…...