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Dualisation of dualities II: twisted self-duality of doubled fields and superdualities
Open accessAbstract
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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Cites
Infinitesimal computations in topology
Sullivan, D. (1977) · Publications mathématiques de l IHÉS · doi:10.1007/bf02684341 · Cited by 1,421 · cited 1×
“1 Research supported in part by DOE Grant DE-FG03-95ER40917 2 Research supported in part by EC under TMR contract ERBFMRX-CT96-0045 3 Unité Propre du Centre National de la Recherche Scientifique, associée à l’École Normale Supérieure et à l’Université de Paris-Sud”
Cited by
E10and a Small Tension Expansion of M Theory
Damour, T., Henneaux, M., & Nicolai, H. (2002) · Physical Review Letters · doi:10.1103/physrevlett.89.221601 · Cited by 342
Metadata
- Authors
- Cremmer, E., Julia, B., Lü, H., & Pope, C. N.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1998-12
- Volume
- 535
- Issue
- 1-2
- Pages
- 242-292
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2024631119
- Cited by
- 227
- References
- 1
- FWCI
- 4.20
- Type
- journal article
- Language
- en
- Open access
- green
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- Cremmer, E., Julia, B., Lü, H., & Pope, C. N. (1998). Dualisation of dualities II: twisted self-duality of doubled fields and superdualities. Nuclear Physics B. https://doi.org/10.1016/s0550-3213(98)00552-5
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