#### Alladi Ramakrishnan Hall

#### New multiplets in four dimensional N=2 conformal supergravity

#### Subramanya Hegde

##### IISER, Trivendrum

*Superconformal multiplet calculus provides a systematic method to*

construct higher derivative invariants in Poincare supergravity. In this

context, multiplets in conformal supergravity are of interest. The minimal

multiplet containing the gauge fields of the superconformal algebra is

called as the Weyl multiplet. In five dimensions, it was shown that there

are two such Weyl multiplets that differ in their auxiliary field content.

The new Weyl multiplet contains a real scalar field of Weyl weight +1 and

was named as dilaton Weyl multiplet. This was obtained using two different

routes. We will see that the two routes lead to two different (new)

multiplets in four dimensions. One of these is the dilaton Weyl multiplet

in four dimensions and the other, is the 24+24 real scalar multiplet.

Further, we will see the reduction of this multiplet to an 8+8 restricted

multiplet and a precise embedding of the known 8+8 tensor multiplet inside

this multiplet. We will discuss the possible future directions and if time

permits, some recent work in N=3 conformal supergravity.

Done