A Test Of The Chiral E8 Current Algebra On A 6D Non-Critical String

TL;DR

This paper tests the predictions of the E8 chiral current algebra in a 6D non-critical string by analyzing the resulting 5D BPS states via dual M-theory compactification on elliptically fibered Calabi-Yau manifolds.

Contribution

It provides a detailed comparison between the expected E8 current algebra states and the actual BPS spectrum obtained from M-theory compactifications.

Findings

Matching of BPS states with E8 multiplets

Identification of 2-brane bound states

Confirmation of E8 current algebra structure

Abstract

Compactifying the $E_8$ non-critical string in 6D down to 5D the 6D strings give rise to particles and strings in 5D. Using the dual M-theory description compactified on an elliptically fibered Calabi-Yau we compare some of the 5D BPS states to what one expects from non-critical strings with an $E_8$ chiral current algebra. The $E_8$ multiplets of particle states comprise of 2-branes wrapping on irreducible curves together with bound states of several 2-branes.