Understand
In three spacetime dimensions, (super)conformal geometry is controlled by the (super) Cotton tensor.
- We present a new duality transformation for N-extended supersymmetric theories formulated in terms of the linearised super-Cotton tensor or its higher spin extensions for the cases N=2, 1, 0.
- In the N=2 case, this transformation is a generalisation of the linear-chiral duality, which is known to provide a dual description in terms of chiral superfields for general models of self-interacting N=2 vector multiplets in three dimensions and N=1 tensor multiplets in four dimensions.
- For superspin-1 (gravitino multiplet), superspin-3/2 (supergravity multiplet) and higher superspins s>3/2, the duality transformation relates a higher-derivative theory to one containing at most two derivatives at the component level.