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Duality invariance implies Poincare invariance

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arxiv 1208.6302 v1 pith:3XITU7XM submitted 2012-08-30 hep-th gr-qc

Claudio Bunster , Marc Henneaux This is my paper · ORCID
classification hep-thgr-qc
keywords dualityfieldsinvariancepoincarevectoranotherassumptionscommutators
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We consider all possible dynamical theories which evolve two transverse vector fields out of a three-dimensional Euclidean hyperplane, subject to only two assumptions: (i) the evolution is local in space, and (ii) the theory is invariant under "duality rotations" of the vector fields into one another. The commutators of the Hamiltonian and momentum densities are shown to be necessarily those of the Poincare group or its zero signature contraction. Space-time structure thus emerges out of the principle of duality.

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  1. On Covariant Actions for Chiral $p-$Forms

    hep-th 2019-08 conditional novelty 7.0 of 10

    A polynomial, Lorentz-covariant action for free chiral p-forms is presented, equivalent to PST and featuring an auxiliary p-form.

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