IIB supergravity and E10

Axel Kleinschmidt; Hermann Nicolai

IIB supergravity and E10

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arxiv hep-th/0411225 v1 pith:AIR3PHGY submitted 2004-11-24 hep-th

IIB supergravity and E10

Axel Kleinschmidt , Hermann Nicolai This is my paper

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keywords supergravitybosonicequationslevelmotionsigma-modela8xa1adapted

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We analyse the geodesic E10/K(E10) sigma-model in a level decomposition w.r.t. the A8xA1 subalgebra of E10, adapted to the bosonic sector of type IIB supergravity, whose SL(2,R) symmetry is identified with the A1 factor. The bosonic supergravity equations of motion, when restricted to zeroth and first order spatial gradients, are shown to match with the sigma-model equations of motion up to level four. Remarkably, the self-duality of the five-form field strength is implied by E10 and the matching.

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