Dualisation of dualities II: twisted self-duality of doubled fields and superdualities Academic Article

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 script G sign, 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. 1998 Published by Elsevier Science B.V.

authors

• Pope, Christopher

published proceedings

• NUCLEAR PHYSICS B

author list (cited authors)

• Cremmer, E., Julia, B., Lu, H., & Pope, C. N.

citation count

• 154

complete list of authors

• Cremmer, E||Julia, B||Lu, H||Pope, CN

publication date

• December 1998

publisher

• Elsevier  Publisher

published in

• Nuclear Physics B  Journal

keywords

• 49 Mathematical Sciences
• 4902 Mathematical Physics
• 4904 Pure Mathematics
• 51 Physical Sciences
• 5107 Particle And High Energy Physics

Digital Object Identifier (DOI)

• 10.1016/S0550-3213(98)00552-5

URI

• https://hdl.handle.net/1969.1/183991

start page

• 242

end page

• 292

volume

• 535

issue

• 1-2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fs0550-3213%2898%2900552-5