A Hidden Twelve-Dimensional SuperPoincare Symmetry In Eleven Dimensions

TL;DR

This paper reveals a hidden twelve-dimensional superPoincare symmetry in eleven-dimensional superparticle theory, extending previous work on ten-dimensional superparticles and emphasizing the role of constraints in preserving symmetries.

Contribution

It introduces a novel hidden twelve-dimensional symmetry in eleven-dimensional superparticles, expanding the understanding of superPoincare symmetries in higher dimensions.

Findings

Discovery of a hidden twelve-dimensional superPoincare symmetry.

Physical sector defined by three first-class constraints.

Extension of previous eleven-dimensional symmetry results.

Abstract

First, we review a result in our previous paper, of how a ten-dimensional superparticle, taken off-shell, has a hidden eleven-dimensional superPoincare symmetry. Then, we show that the physical sector is defined by three first-class constraints which preserve the full eleven-dimensional symmetry. Applying the same concepts to the eleven dimensional superparticle, taken off-shell, we discover a hidden twelve dimensional superPoincare symmetry that governs the theory.