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        On symmetries and dynamics of exotic supermultiplets

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        Minasian2021_Article_OnSymmetriesAndDynamicsOfExoti.pdf (PDF, 874Kb)
        Author
        Minasian, Ruben
        Strickland-Constable, Charles
        Zhang, Yi
        Attention
        2299/23849
        Abstract
        Among the allowed representations of extended supersymmetry in six dimensions there are exotic chiral multiplets that, instead of a graviton, contain mixed-symmetry spin-2 tensor fields. Notably, an $\mathcal{N}=(4,0)$ multiplet has a four index exotic graviton and it was conjectured that an interacting theory based on this multiplet could arise as a strong coupling limit of M theory compactified on $T^6$. We present an algebraic study of these multiplets and their possible embedding into the framework of exceptional field theory, finding in particular that the six-dimensional momenta do not correspond to a conventional spacetime section. When compactified on a circle, the six-dimensional multiplets give rise to the same degrees of freedom as five-dimensional supergravity theories with the same number of supersymmetries. However, by considering anomalies (computed using the product multiplets construction) and the generation of Chern-Simons couplings, we find reason to doubt that their dynamics will agree with the five-dimensional gravity theories. We propose an alternative picture, similar to F-theory, in which particular fixed-volume $T^3$-fibered spacetimes play a central role, suggesting that only on compactification to three-dimensions will one make contact with the dynamics of supergravity.
        Publication date
        2021-01-27
        Published in
        Journal of High Energy Physics
        Published version
        https://doi.org/10.1007/JHEP01(2021)174
        Other links
        http://hdl.handle.net/2299/23849
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