Charge multiplets and masses for E(11)

TL;DR

This paper derives charge multiplets and mass formulas from the E(11) symmetry, connecting them to M-theory and string theory objects, and verifies the tension and mass predictions for various branes and monopoles across multiple dimensions.

Contribution

It introduces a tension formula based on E(11) that predicts tensions and masses of fundamental objects in M-theory and string theory, including exotic branes.

Findings

Reproduces tensions of M2, M5, KK-monopole, and pp-wave from E(11)

Classifies all exotic KK-brane charges in M-theory

Matches string coupling and α' dependence in tension formulas

Abstract

The particle, string and membrane charge multiplets are derived in detail from the decomposition of the l1 (charge) representation of E(11) in three, four, five, six, seven and eight spacetime dimensions. A tension formula relating weights of the l1 (charge) representation of E(11) to the fundamental objects of M-theory and string theory is presented. The reliability of the formula is tested by reproducing the tensions of the content of the charge multiplets. The formula reproduces the masses for the pp-wave, M2, M5 and the KK-monopole from the low level content of the l1 representation of E(11). Furthermore the tensions of all the Dp-branes of IIA and IIB theories are found in the relevant decomposition of the l1 representation, with the string coupling constant and $\alpha'$ appearing with the expected powers. The formula leads to a classification of all the exotic, KK-brane charges of M-theory.