Extra Gauge Symmetry for Extra Supersymmetry

TL;DR

This paper demonstrates that extra supersymmetry in tensionless superstrings and super p-branes introduces new bosonic gauge symmetries, enabling a unified description of physical degrees of freedom through gauge-invariant coordinates and revealing connections to higher spin theories.

Contribution

It introduces new bosonic gauge symmetries associated with extra supersymmetry, leading to a gauge-invariant coordinate framework and linking to hidden symmetries and higher spin theories.

Findings

Composed gauge-invariant coordinates match symplectic supertwistor components.

These coordinates realize a linear representation of hidden OSp(1,2M) symmetry.

The gauge symmetries relate to massless higher spin gauge theories.

Abstract

It is shown that the extra supersymmetry of tensionless superstring and super $p$-brane is accompanied by the presence of new bosonic gauge symmetries. It permits to use composed coordinates encoding all physical degrees of freedom of the model and invariant under these gauge symmetries and the enhanced $\kappa$-symmetry. It is proved that the composed gauge invariant coordinates coincide with the componets of symplectic supertwistor realizing a linear representation of the hidden OSp(1,2M) symmetry of the super $p$-brane Lagrangian. A connection of the presented gauge symmetries with massless higher spin gauge theories and a symmetric phase of $M$/string-theory is discussed.