Quaternionic Superconformal Field Theory

TL;DR

This paper develops a superfield formalism for N=4 superconformal field theory in two dimensions, introduces minimal free superfields, and explores connections to superstring theory and octonionic structures.

Contribution

It presents a new superfield formalism for N=4 superconformal theories and links superstring super-Poincaré algebra to local superconformal symmetry.

Findings

Minimal free superfields with four bosons and four fermions identified

Super-Poincaré algebra shown to be equivalent to N=4 superconformal symmetry

Outline of octonionic superconformal field theory construction

Abstract

We develop a superfield formalism for N=4 superconformal two-dimensional field theory. A list is presented of minimal free superfields, i.e. of multiplets containing four bosons and four fermions. We show that the super-Poincar\'e algebra of the six-dimensional superstring in the light-cone gauge is essentially equivalent to a local N=4 superconformal symmetry, and outline the construction of octonionic superconformal field theory.