Addendum to "Super-GCA from $\mathcal{N}=(2,2)$ super-Virasoro": Super-GCA connection with tensionless strings

TL;DR

This paper explores the link between 2D super-GCA algebras derived from superconformal field theories and their role in describing the constraints of tensionless null spinning strings, expanding understanding of string symmetries.

Contribution

It establishes a connection between super-GCA algebras from 2D SCFTs and the algebraic structure of tensionless null spinning strings, providing new insights into string symmetry frameworks.

Findings

Super-GCA from 2D SCFTs describes tensionless string constraints

Connection between super-GCA and null spinning strings clarified

Enhanced understanding of string symmetry algebra achieved

Abstract

In this addendum, we consider the connection between certain $2d$ super-GCA, obtained from the parametric contractions of $2d$ SCFTs, which can describe the constraint algebra of null spinning strings.