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The loop group of E8 and K-theory from 11d

Allan Adams et al JHEP02(2003)029   doi: 10.1088/1126-6708/2003/02/029  Help

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Allan Adams1 and Jarah Evslin2
1 Dept. of Physics and SLAC, Stanford University, Stanford, CA 94305/94309, USA
2 Dept. of Math, UC Berkeley and Theory Group, LBNL Berkeley, CA 94720, USA
E-mail: jarah@df.unipi.it

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(Bbb 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 tilde LE8.

Key words: Field Theories in Higher Dimensions; Solitons Monopoles and Instantons; M-Theory

Received 18 November 2002, accepted for publication 17 February 2003
Published 18 February 2003

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