Towards a tensionless string field theory for the N=(2,0) CFT in d=6

TL;DR

This paper advances the formulation of a tensionless string field theory for the six-dimensional N=(2,0) conformal field theory, constructing the free theory and proposing a supersymmetric cubic interaction consistent with algebra closure.

Contribution

It presents the first steps towards a Lagrangian for the elusive 6D N=(2,0) theory using tensionless strings, including the free part and a supersymmetric cubic vertex.

Findings

Constructed the free tensionless string theory in 6D

Proposed a supersymmetric cubic vertex in light-cone superspace

Fixed the vertex parameters by supersymmetry algebra closure

Abstract

We describe progress in using the field theory of tensionless strings to arrive at a Lagrangian for the six-dimensional $\mathcal N=(2,0)$ conformal theory. We construct the free part of the theory and propose an ansatz for the cubic vertex in light-cone superspace. By requiring closure of the $(2,0)$ supersymmetry algebra, we fix the cubic vertex up to two parameters.