The Loop Group of E8 and K-Theory from 11d
Allan Adams, Jarah Evslin
Abstract
We examine the conjecture that an 11d E8 bundle, appearing in the calculation of phases in the M-Theory partition function, plays a physical role in M-Theory, focusing on consequences for the classification of string theory solitons. This leads for example to a classification of IIA solitons in terms of that of LE8 bundles in 10d. Since K(Z,2) approximates LE8 up to π14, this reproduces the K-Theoretic classification of IIA D-branes while treating NSNS and RR solitons more symmetrically and providing a natural interpretation of G0 as the central extension of LE8.
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