# Towards Massless Sector of Tensionless Strings on $AdS_5$

## TL;DR

This paper constructs five-dimensional higher spin gravity models, providing new algebraic realizations that include the massless sector of tensionless strings, with potential implications for understanding string theory and higher spin interactions.

## Contribution

It introduces two novel realizations of deformed higher spin algebra in five dimensions, one via universal enveloping algebra and the other through oscillator variables, including supersymmetric extensions.

## Key findings

- New algebraic realizations of higher spin algebra in 5D
- Inclusion of supersymmetric extensions and $
abla=8$ case
- Connection to massless sector of tensionless strings

## Abstract

{A} Higher Spin Gravity in five dimensions is constructed. It was shown recently that constructing formally consistent classical equations of motion of higher spin gravities is equivalent to finding a certain deformation of a given higher spin algebra. A strong homotopy algebra encoding the interaction vertices then follows. We propose two different and novel realizations of the deformed higher spin algebra in the case of five dimensions: one in terms of the universal enveloping algebra of $su(2,2)$ and the other by means of oscillator variables. Both the new realizations admit supersymmetric extensions and the $\mathcal{N}=8$ case underlies the massless sector of tensionless strings.