Hidden Symmetries of M-Theory and Its Dynamical Realization

TL;DR

This paper explores the hidden symmetries in M-theory, their influence on the effective action, and how locality constraints affect the symmetry structure, especially when matter fields are included.

Contribution

It provides a detailed analysis of the role of hidden symmetries in M-theory and their impact on the construction of the effective action, highlighting the effects of matter fields.

Findings

Local symmetries constrain the index structure of dual graviton fields.

The symmetry structure changes when matter fields are included.

Current problems and future directions in understanding M-theory symmetries.

Abstract

We discuss hidden symmetries of M-theory, its feedback on the construction of the M-theory effective action, and a response of the effective action when locality is preserved. In particular, the locality of special symmetries of the duality-symmetric linearized gravity constraints the index structure of the dual to graviton field in the same manner as it is required to separate the levels 0 and 1 generators subalgebra from the infinite-dimensional hidden symmetry algebra of gravitational theory. This conclusion fails once matter fields are taken into account and we give arguments for that. We end up outlining current problems and development perspectives.