S-Theory

TL;DR

This paper develops a representation theory for a complex superalgebra to explore non-perturbative aspects of a fundamental secret theory underlying strings and p-branes, highlighting Lorentz non-singlet extensions and BPS-like states.

Contribution

It introduces a new framework for understanding the superalgebra related to string theory, emphasizing Lorentz non-singlet central extensions and their physical significance.

Findings

Role of Lorentz non-singlet central extensions clarified

Criteria for new BPS-like non-perturbative states established

Explicit examples illustrating the methods provided

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.