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Dualisation of Dualities, II: Twisted self-duality of doubled fields and superdualities

E. Cremmer·B. Julia·H. Lu·C. N. Pope
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Abstract

We introduce a doubled formalism for the bosonic sector of the maximal supergravities, in which a Hodge dual potential is introduced for each bosonic field (except for the metric). The equations of motion can then be formulated as a twisted self-duality condition on the total field strength \G, which takes its values in a Lie superalgebra. This doubling is invariant under dualisations; it allows a unification of the gauge symmetries of all degrees, including the usual U-dualities that have degree zero. These ``superdualities'' encompass the dualities for all choices of polarisation (i.e. the choices between fields and their duals). All gauge symmetries appear as subgroups of finite-dimensional supergroups, with Grassmann coefficients in the differential algebra of the spacetime manifold.

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E. Cremmer, B. Julia, H. Lu, C. N. Pope. 1998-08-22. Dualisation of Dualities, II: Twisted self-duality of doubled fields and superdualities. https://doi.org/10.1016/s0550-3213(98)00552-5

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