Abstract
In this paper we study the spectrum of all conformal, mathcal{N} -extended supergravities ( mathcal{N} = 1, 2, 3, 4) in four space-time dimensions. When these theories are obtained as massless limit of Einstein plus Weyl2 supergravity, the appropriate counting of the enhanced gauge symmetries allow us to derive the massless spectrum which consist of a dipole ghost graviton multiplet, a mathcal{N} -fold tripole ghost gravitino, the third state belonging to a spin 3/2 multiplet and a residual vector multiplet present for non-maximal mathcal{N} < 4 theories. These theories are not expected to have a standard gravity holographic dual in five dimensions.
Highlights
On the other hand the R + R2 theory does not include all possible quadratic curvature theories
In this paper we study the spectrum of all conformal, N -extended supergravities (N = 1, 2, 3, 4) in four space-time dimensions. When these theories are obtained as massless limit of Einstein plus Weyl2 supergravity, the appropriate counting of the enhanced gauge symmetries allow us to derive the massless spectrum which consist of a dipole ghost graviton multiplet, a N -fold tripole ghost gravitino, the third state belonging to a spin 3/2 multiplet and a residual vector multiplet present for non-maximal N < 4 theories
A second independent quadratic curvature invariant is the square of the Weyl tensor, whereas terms quadratic in the Riemann tensor can be traded for a Weyl square term and the 4D Gauss-Bonnet topological term
Summary
(i) A standard massless spin-two super graviton multiplet gN =3 with nB + nF = 16 degrees of freedom and the following helicity and U(3) quantum numbers:. The massless N = 3 super-(Weyl) gravity theory contains nB +nF = 96 physical, propagating degrees of freedom. (i) A standard massless spin-two super graviton multiplet gN =4 with nB + nF = 32 degrees of freedom and with the following helicities and SU(4) representations:. (ii) In the non-standard sector we have the spin-two massive Weyl multiplet of N = 4, which is irreducible with nB + nF = 28 = 256 with states in USp(8) representations [58]: wN =4 : Spin(2)+8 × Spin(3/2)+27 × Spin(1)+48 × Spin(1/2)+42 × Spin(0) .
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
