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Phys. Rev. D 71, 081502 (2005) [7 pages]

Free spin 2 duality invariance cannot be extended to general relativity

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S. Deser1 * and D. Seminara2 †
1Department of Physics, Brandeis University, Waltham, Massachusetts 02454, USA
2Dipartimento di Fisica, Polo Scientifico, Università di Firenze, INFN Sezione di Firenze Via G. Sansone 1, 50019 Sesto Fiorentino, Italy

Received 3 March 2005; published 28 April 2005

We show by explicit computation that the recently discovered duality invariance of D=4 linearized gravity is lost, already at first self-interacting, cubic approximation of general relativity. In contrast, the cubic Yang-Mills extension of Maxwell does admit a simple deformed duality.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevD.71.081502
DOI: 10.1103/PhysRevD.71.081502
PACS: 04.60.Ds, 11.15.−q, 11.30.−j

* Email address: deser@brandeis.edu
† Email address: seminara@fi.infn.it

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