Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP01(2013)064
Keywords
Space-Time Symmetries; M-Theory
Categories
Funding
- STFC [ST/J000469/1]
- FWO-Vlaanderen postdoctoral fellowship
- Belgian Federal Science Policy Office through the Interuniversity Attraction Pole IAP [VI/11]
- FWO Vlaanderen [G011410N]
- STFC [ST/J000469/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/J000469/1] Funding Source: researchfish
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We investigate the generalised diffeomorphisms in M-theory, which are gauge transformations unifying diffeomorphisms and tensor gauge transformations. After giving an E-n(n)-covariant description of the gauge transformations and their commutators, we show that the gauge algebra is infinitely reducible, i.e., the tower of ghosts for ghosts is infinite. The Jacobiator of generalised diffeomorphisms gives such a reducibility transformation. We give a concrete description of the ghost structure, and demonstrate that the infinite sums give the correct (regularised) number of degrees of freedom. The ghost towers belong to the sequences of representations previously observed appearing in tensor hierarchies and Borcherds algebras. All calculations rely on the section condition, which we reformulate as a linear condition on the cotangent directions. The analysis holds for n < 8. At n = 8, where the dual gravity field becomes relevant, the natural guess for the gauge parameter and its reducibility still yields the correct counting of gauge parameters.
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