S-Theory

TL;DR

Bars develops the representation theory of the maximally extended superalgebra with 32 fermionic and 528 bosonic generators to probe non-perturbative aspects of the secret S-theory behind strings and p-branes. The approach foregrounds Lorentz non-singlet central extensions interpreted as p-brane boundary charges, which reveal up to 13 hidden dimensions and dualities through two covariant realizations, Type-A and Type-B, tied to 12D/13D structure. Representations yield both long and BPS-like shortened multiplets, showing how new non-perturbative BPS states with Lorentz non-singlet charges arise and how they connect to open p-branes and dualities. The work suggests a covariant 12D/13D reformulation that accommodates 11D supergravity within a broader SO(10,2) framework and provides a systematic way to relate perturbative string spectra to the full non-perturbative spectrum of the secret theory.

Abstract

The representation theory of the maximally extended superalgebra with 32 fermionic and 528 bosonic generators is developed in order to investigate non-perturbative properties of the democratic secret theory behind strings and other p-branes. The presence of Lorentz non-singlet central extensions is emphasized, their role for understanding up to 13 hidden dimensions and their physical interpretation as boundaries of p-branes is elucidated. The criteria for a new larger set of BPS-like non-perturbative states is given and the methods of investigation are illustrated with several explicit examples.