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The massless irreducible representation in E theory and how bosons can appear as spinors

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arxiv 2102.02152 v1 pith:2DEYJAXT submitted 2021-02-03 hep-th

Keith Glennon , Peter West This is my paper · ORCID
classification hep-th
keywords representationtheorybosonsdegreesfreedomirreduciblemasslessnumber
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We study in detail the irreducible representation of E theory that corresponds to massless particles. This has little algebra Ic(E9) and contains 128 physical states that belong to the spinor representation of SO(16). These are the degrees of freedom of maximal supergravity in eleven dimensions. This smaller number of the degrees of freedom, compared to what might be expected, is due to an infinite number of duality relations which in turn can be traced to the existence of a subaglebra of Ic(E9) which forms an ideal and annihilates the representation. We explain how these features are inherited into the covariant theory. We also comment on the remarkable similarity between how the bosons and fermions arise in E theory.

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  1. Local symmetry and extended spacetime

    hep-th 2025-04 conditional novelty 6.0 of 10

    A constraint on the gauge parameters of E theory is proposed that closes the algebra of local transformations; in the IIA level-zero sector it differs from the section conditions of double field theory.

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