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Duality Invariant Actions and Generalised Geometry

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arxiv 1111.0459 v2 pith:5YA5R6UM submitted 2011-11-02 hep-th

David S. Berman , Hadi Godazgar , Malcolm J. Perry , Peter West This is my paper
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keywords generaliseddualityconstructgroupsinvariantnon-linearrealisationspace
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We construct the non-linear realisation of the semi-direct product of E(11) and its first fundamental representation at lowest order and appropriate to spacetime dimensions four to seven. This leads to a non-linear realisation of the duality groups and introduces fields that depend on a generalised space which possess a generalised vielbein. We focus on the part of the generalised space on which the duality groups alone act and construct an invariant action.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Cobordism Utopia: U-Dualities, Bordisms, and the Swampland

    hep-th 2025-05 conditional novelty 7.0 of 10

    For 8d maximal supergravity, the spin bordism groups Omega_k^Spin(B(SL(2,Z) x SL(3,Z))) for k=1..7 are computed and each generator is realized by a string/M/F-theory background, some of which are non-geometric.

  2. Gauged Extended Field Theory and Generalised Cartan Geometry

    hep-th 2025-09 conditional novelty 6.0 of 10

    A systematic Cartan-geometric construction of linearised torsion and curvature hierarchies for generalised geometries with global duality group G and local gauge group H, realised via brane current algebras.

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