Abstract
Let us now move on to the construction of the Lagrangian with \(\mathcal{N}=2\) supersymmetry. An \(\mathcal{N}=2\) supersymmetric theory is in particular an \(\mathcal{N}=1\) supersymmetric theory. Therefore it is convenient to use \(\mathcal{N}=1\) superfields to describe \(\mathcal{N}=2\) systems. For this purpose let us quickly recall the \(\mathcal{N}=1\) formalism. In this section only, we distinguish the imaginary unit by writing it as i.
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Notes
- 1.
There is a stupid convention that we use a space between ‘vector’ and ‘multiplets’ to spell “vector multiplets”, but not for “hypermultiplets”. Colloquially, hypermultiplets are often just called hypers.
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Tachikawa, Y. (2015). \(\mathcal{N}=2\) Multiplets and Lagrangians. In: N=2 Supersymmetric Dynamics for Pedestrians. Lecture Notes in Physics, vol 890. Springer, Cham. https://doi.org/10.1007/978-3-319-08822-8_2
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