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

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.

1+16 pages, harvmac

References in corpus (4)

• Fluxbranes in String Theory
• Geometrical interpretation of D-branes in gauged WZW models
• Flux-branes and the Dielectric Effect in String Theory
• Dyons, K-theory and M-theory

Cited by in corpus (18)

• T-Duality: Topology Change from H-flux
• Some Relations between Twisted K-theory and E8 Gauge Theory
• Gerbes, M5-Brane Anomalies and E_8 Gauge Theory
• Rational sphere valued supercocycles in M-theory and type IIA string theory
• What Does(n't) K-theory Classify?
• Type II string theory and modularity
• T-Duality, and the K-Theoretic Partition Function of TypeIIA Superstring Theory
• Twisted K-Theory from Monodromies
• SUSY vs E8 Gauge Theory in 11 Dimensions
• From E_8 to F via T
• E8 Gauge Theory and Gerbes in String Theory
• E10 Orbifolds
• Loop Groups, Kaluza-Klein Reduction and M-Theory
• The Loop Group of E8 and Targets for Spacetime
• On the geometry of the supermultiplet in M-theory
• A Gauge-Gravity Relation in the One-loop Effective Action
• Gravitational monopoles, anomalies and M$E_8$ bundles
• OP2 bundles in M-theory