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The Loop Group of E_8 and K-Theory from 11d

Allan Adams·Jarah Evslin
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Abstract

We examine the conjecture that an 11d E_8 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 LE_8 bundles in 10d. Since K(Z,2) approximates LE_8 up to π_{14}, this reproduces the K-Theoretic classification of IIA D-branes while treating NSNS and RR solitons more symmetrically and providing a natural interpretation of G_0 as the central extension of LE_8.

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Allan Adams, Jarah Evslin. 2002-03-23. The Loop Group of E_8 and K-Theory from 11d. https://doi.org/10.1088/1126-6708%2F2003%2F02%2F029

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