E11 as E10 representation at low levels

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hep-th/0304246 DAMTP 2003-35 E11 as E10 representation at low levels

The Lorentzian Kac-Moody algebra E11, obtained by doubly overextending the compact E8, is decomposed into representations of its canonical hyperbolic E10 subalgebra. Whereas the appearing representations at levels 0 and 1 are known on general grounds, higher level representations can currently only be obtained by recursive methods. We present the results of such an analysis up to height 120 in ...

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Recently, the concept of a nonlinear σ-model over a coset space G/H was generalized to the case where the group G is an infinite-dimensional Kac-Moody group, and H its (formal) 'maximal compact subgroup'. Here, we study in detail the one-dimensional (geodesic) σ-model with G = E 10 and H = K(E 10). We reexamine the construction of this σ-model and its relation to the bosonic sector of eleven-di...

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E 11 as E 10 representation at low levels

The Lorentzian Kac-Moody algebra E11, obtained by doubly overextending the compact E8, is decomposed into representations of its canonical hyperbolic E10 subalgebra. Whereas the appearing representations at levels 0 and 1 are known on general grounds, higher level representations can currently only be obtained by recursive methods. We present the results of such an analysis up to height 120 in ...

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A two-parameter group element is presented that interpolates between M-brane solutions. The group element is used to interpret a number of exotic branes related to the generators of the adjoint representation of E11 as non-marginal half-BPS bound states of M-branes. It is conjectured that the adjoint representation of E11 contains only generators related to bound states of fundamental M-branes ...

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ژورنال

عنوان ژورنال: Nuclear Physics B

سال: 2004

ISSN: 0550-3213

DOI: 10.1016/j.nuclphysb.2003.11.006