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  IIA and IIB spinors from K(E10)

Kleinschmidt, A., & Nicolai, H. (2006). IIA and IIB spinors from K(E10). Physics Letters B, 637(1-2), 107-112. doi:10.1016/j.physletb.2006.04.007.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4BDB-7 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4BDD-3
Genre: Journal Article

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Kleinschmidt, Axel1, Author              
Nicolai, Hermann2, Author              
Affiliations:
1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: We analyze the decomposition of recently constructed unfaithful spinor representations of K(E10) under its SO(9) x SO(9), and SO(9) x SO(2) subgroups, respectively, where K(E10) is the `maximal compact' subgroup of the hyperbolic Kac--Moody group E(10). We show that under these decompositions, respectively, one and the same K(E10) spinor gives rise to both the fermionic fields of IIA supergravity, and to the (chiral) fermionic fields of IIB supergravity. This result is thus the fermionic analogue of the decomposition of E(10) under its SO(9,9) and SL(9) x SL(2) subgroups, respectively, which yield the correct bosonic multiplets of (massive) IIA and IIB supergravity. The essentially unique Lagrangian for the supersymmetric E(10)/K(E10) sigma-model therefore can also capture the dynamics of IIA and IIB including bosons and fermions in the known truncations.

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 Dates: 2006
 Publication Status: Published in print
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Title: Physics Letters B
Source Genre: Journal
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Pages: - Volume / Issue: 637 (1-2) Sequence Number: - Start / End Page: 107 - 112 Identifier: ISSN: 0370-2693