Gauging Spacetime Symmetries: The Weyl Multiplet

In this chapter, we will discuss the gauge multiplets of the superconformal algebra, called Weyl multiplets. We start by repeating the basic transformation rules for gauge fields and curvatures, and discuss then the modifications necessary for spacetime symmetries. We will see that one needs constraints on curvatures, and will learn how to deal with them. At the end of this chapter we obtain a Weyl multiplets for \(\mathcal {N}=2\) theories in D = 4, D = 5 and D = 6.