Pure type I supergravity and DE10

Hillmann, Christian; Kleinschmidt, Axel

doi:10.1007/s10714-006-0352-8

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Pure type I supergravity and DE10

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Hillmann, Christian
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Kleinschmidt, Axel
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Hillmann, C., & Kleinschmidt, A. (2006). Pure type I supergravity and DE10. General Relativity and Gravitation, 38(12), 1861-1885. doi:10.1007/s10714-006-0352-8.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4A52-3

Abstract

We establish a dynamical equivalence between the bosonic part of pure type I supergravity in D=10 and a D=1 non-linear sigma-model on the Kac-Moody coset space DE(10)/K(DE(10)) if both theories are suitably truncated. To this end we make use of a decomposition of DE(10) under its regular SO(9,9) subgroup. Our analysis also deals partly with the fermionic fields of the supergravity theory and we define corresponding representations of the generalized spatial Lorentz group K(DE(10)).