Dual gravity and matter
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We consider the problem of finding a dual formulation of gravity in the presence of non-trivial matter couplings. In the absence of matter a dual graviton can be introduced only for linearised gravitational interactions. We show that the coupling of linearised gravity to matter poses obstructions to the usual construction and comment on possible resolutions of this difficulty.
KeywordsGravity Duality Matter
The authors gratefully acknowledge discussions with Marc Henneaux, Olaf Hohm, Hermann Nicolai and Peter West. AK and FR would like to thank the University of Groningen for its hospitality during several visits. AK is a Research Associate of the Fonds de la Recherche Scientifique– FNRS, Belgium. The work of FR is supported by a PPARC rolling grant PP/C507145/1 and the EU Marie Curie research training network grant MRTN-CT-2004-512194.
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