Supersymmetry, p-brane duality and hidden space and time dimensions

TL;DR

This paper explores a theoretical framework with a maximal 12-dimensional space-time signature, revealing hidden dimensions and dualities that influence non-perturbative states in string theory.

Contribution

It introduces a superalgebra with 32 supercharges to analyze duality and hidden dimensions, extending the understanding of p-branes and non-perturbative states in a 12-dimensional context.

Findings

Maximal dimensions are 12 with signature (10,2).

Hidden dimensions are unobservable in perturbative string theory.

Classification schemes relate duality to hidden space-time dimensions.

Abstract

A global superalgebra with 32 supercharges and all possible central extensions is studied in order to extract some general properties of duality and hidden dimensions in a theory that treats $p$-branes democratically. The maximal number of dimensions is 12, with signature (10,2), containing one space and one time dimensions that are hidden from the point of view of perturbative 10-dimensional string theory or its compactifications. When the theory is compactified on $R^{d-1,1}\otimes T^{c+1,1}$ with $d+c+2=12,$ there are isometry groups that relate to the hidden dimensions as well as to duality. Their combined classification schemes provide some properties of non-perturbative states and their couplings.