Category: Technical Notes

In this note we describe how the $n$-dimensional sphere, hyperbolic space, de Sitter, and anti-de Sitter can all be described as a coset of particular

In this rather large note we discuss $SU(2)$ Seiberg-Witten theory with one flavour of hypermultiplets. We begin with the UV $\mathcal{N}=2$ actions. A chiral field

In this note we discuss $\mathcal{N}=2$ gauge and matter actions in the UV build out of $\mathcal{N}=1$ actions with appropriate coefficients between terms in the

In this note we introduce $\mathcal{N}=1$ gauge and matter actions using the superspace and superfields formalism. We discuss both renormalizable UV actions and non-renormalizable low

In this note we introduce the concept of superspace as an extension of $4$-dimensional Minkowski space by an addition of $4$ Grassmann variables as coordinates.

In this note we discuss electromagnetic duality for $U(1)$ gauge theory. We give a simple definition of monopoles and discuss S- and T-duality. Take me