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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…...