Revisiting N = 4 $$ \mathcal{N}=4 $$ superconformal blocks

Exacting N = 4 Superconformal Symmetry

Comments on N = 4 Superconformal Algebras

We present a new and asymmetric N = 4 superconformal algebra for arbitrary central charge, thus completing our recent work on its classical analogue with vanishing central charge. Besides the Virasoro generator and 4 supercurrents, the algebra consists of an internal SL(2) ⊗ U(1) Kac-Moody algebra in addition to two spin 1/2 fermions and a bosonic scalar. The algebra is shown to be invariant un...

Superconformal transformations of the N = 4 supersymmetric

The N = 4 supersymmetric Yang-Mills theory (SSYM) has many interesting properties, one of them being its finiteness to all orders in perturbation (Mandelstam 1983; Howe et a11983; Brink et al 1983; Salam et a11983). One of the ways to prove finiteness (Sohnius and West 1981), relies on the fact that the N = 4 superconformal (SC) algebra does not involve the chiral-R charge. In this paper we obt...

A non-reductive N = 4 superconformal algebra

A new N = 4 superconformal algebra (SCA) is presented. Its internal affine Lie algebra is based on the seven-dimensional Lie algebra su(2)⊕ g, where g should be identified with a fourdimensional non-reductive Lie algebra. Thus, it is the first known example of what we choose to call a non-reductive SCA. It contains a total of 16 generators and is obtained by a nontrivial Inönü-Wigner contractio...

A New N = 4 Superconformal Algebra

It is shown that the previously known N = 3 and N = 4 superconformal algebras can be contracted consistently by singular scaling of some of the generators. For the later case, by a contraction which depends on the central term, we obtain a new N = 4 superconformal algebra which contains an SU(2)×U(1) Kac-Moody subalgebra and has nonzero central extension.